Live analysis

132,990

132,990 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

132,990 (one hundred thirty-two thousand nine hundred ninety) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2 × 3 × 5 × 11 × 13 × 31. Its proper divisors sum to 254,082, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2077E.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Practical Number Self Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

132,978 132,979 132,980 132,981 132,982 132,983 132,984 132,985 132,986 132,987 132,988 132,989 132,990 132,991 132,992 132,993 132,994 132,995 132,996 132,997 132,998 132,999 133,000 133,001 133,002

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 99,231
Square (n²): 17,686,340,100
Cube (n³): 2,352,106,369,899,000
Divisor count: 64
σ(n) — sum of divisors: 387,072
φ(n) — Euler's totient: 28,800
Sum of prime factors: 65

Primality

Prime factorization: 2 × 3 × 5 × 11 × 13 × 31

Nearest primes: 132,989 (−1) · 133,013 (+23)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 5 · 6 · 10 · 11 · 13 · 15 · 22 · 26 · 30 · 31 · 33 · 39 · 55 · 62 · 65 · 66 · 78 · 93 · 110 · 130 · 143 · 155 · 165 · 186 · 195 · 286 · 310 · 330 · 341 · 390 · 403 · 429 · 465 · 682 · 715 · 806 · 858 · 930 · 1023 · 1209 · 1430 · 1705 · 2015 · 2046 · 2145 · 2418 · 3410 · 4030 · 4290 · 4433 · 5115 · 6045 · 8866 · 10230 · 12090 · 13299 · 22165 · 26598 · 44330 · 66495 (half) · 132990

Aliquot sum (sum of proper divisors): 254,082

Factor pairs (a × b = 132,990)

1 × 132990

2 × 66495

3 × 44330

5 × 26598

6 × 22165

10 × 13299

11 × 12090

13 × 10230

15 × 8866

22 × 6045

26 × 5115

30 × 4433

31 × 4290

33 × 4030

39 × 3410

55 × 2418

62 × 2145

65 × 2046

66 × 2015

78 × 1705

93 × 1430

110 × 1209

130 × 1023

143 × 930

155 × 858

165 × 806

186 × 715

195 × 682

286 × 465

310 × 429

330 × 403

341 × 390

First multiples

132,990 · 265,980 (double) · 398,970 · 531,960 · 664,950 · 797,940 · 930,930 · 1,063,920 · 1,196,910 · 1,329,900

Sums & aliquot sequence

As consecutive integers: 44,329 + 44,330 + 44,331 33,246 + 33,247 + 33,248 + 33,249 26,596 + 26,597 + 26,598 + 26,599 + 26,600 12,085 + 12,086 + … + 12,095

Aliquot sequence: 132,990 → 254,082 → 305,790 → 428,178 → 428,190 → 746,850 → 1,253,022 → 1,253,034 → 1,505,046 → 1,505,058 → 1,548,318 → 1,565,538 → 1,806,558 → 2,548,002 → 2,548,014 → 3,841,746 → 4,107,054 — unresolved within range

Continued fraction of √n

√132,990 = [364; (1, 2, 9, 1, 1, 10, 1, 1, 9, 2, 1, 728)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-two thousand nine hundred ninety
Ordinal: 132990th
Binary: 100000011101111110
Octal: 403576
Hexadecimal: 0x2077E
Base64: Agd+
One's complement: 4,294,834,305 (32-bit)
Scientific notation: 1.3299 × 10⁵
As a duration: 132,990 s = 1 day, 12 hours, 56 minutes, 30 seconds

In other bases

ternary (3) 20202102120

quaternary (4) 200131332

quinary (5) 13223430

senary (6) 2503410

septenary (7) 1062504

nonary (9) 222376

undecimal (11) 90a10

duodecimal (12) 64b66

tridecimal (13) 486c0

tetradecimal (14) 36674

pentadecimal (15) 29610

As an angle

132,990° = 369 × 360° + 150°

150° ≈ 2.618 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρλβϡϟʹ
Mayan (base 20): 𝋰·𝋬·𝋩·𝋪
Chinese: 一十三萬二千九百九十
Chinese (financial): 壹拾參萬貳仟玖佰玖拾

In other modern scripts

Eastern Arabic ١٣٢٩٩٠ Devanagari १३२९९० Bengali ১৩২৯৯০ Tamil ௧௩௨௯௯௦ Thai ๑๓๒๙๙๐ Tibetan ༡༣༢༩༩༠ Khmer ១៣២៩៩០ Lao ໑໓໒໙໙໐ Burmese ၁၃၂၉၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132990, here are decompositions:

19 + 132971 = 132990
23 + 132967 = 132990
29 + 132961 = 132990
37 + 132953 = 132990
41 + 132949 = 132990
43 + 132947 = 132990
61 + 132929 = 132990
79 + 132911 = 132990

Showing the first eight; more decompositions exist.

Unicode codepoint

𠝾

CJK Unified Ideograph-2077E

U+2077E

Other letter (Lo)

UTF-8 encoding: F0 A0 9D BE (4 bytes).

Lookup U+2077E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02077E

RGB(2, 7, 126)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.126.

Address: 0.2.7.126
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.7.126

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 132,990 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US132,990 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 132990 first appears in π at position 494,876 of the decimal expansion (the 494,876ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 132990 on Pi Search ↗