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132,940

132,940 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.).

132,940 (one hundred thirty-two thousand nine hundred forty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5 × 17² × 23. Its proper divisors sum to 176,516, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2074C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
49,231
Square (n²)
17,673,043,600
Cube (n³)
2,349,454,416,184,000
Divisor count
36
σ(n) — sum of divisors
309,456
φ(n) — Euler's totient
47,872
Sum of prime factors
66

Primality

Prime factorization: 2 2 × 5 × 17 2 × 23

Nearest primes: 132,929 (−11) · 132,947 (+7)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 10 · 17 · 20 · 23 · 34 · 46 · 68 · 85 · 92 · 115 · 170 · 230 · 289 · 340 · 391 · 460 · 578 · 782 · 1156 · 1445 · 1564 · 1955 · 2890 · 3910 · 5780 · 6647 · 7820 · 13294 · 26588 · 33235 · 66470 (half) · 132940
Aliquot sum (sum of proper divisors): 176,516
Factor pairs (a × b = 132,940)
1 × 132940
2 × 66470
4 × 33235
5 × 26588
10 × 13294
17 × 7820
20 × 6647
23 × 5780
34 × 3910
46 × 2890
68 × 1955
85 × 1564
92 × 1445
115 × 1156
170 × 782
230 × 578
289 × 460
340 × 391
First multiples
132,940 · 265,880 (double) · 398,820 · 531,760 · 664,700 · 797,640 · 930,580 · 1,063,520 · 1,196,460 · 1,329,400

Sums & aliquot sequence

As consecutive integers: 26,586 + 26,587 + 26,588 + 26,589 + 26,590 16,614 + 16,615 + … + 16,621 7,812 + 7,813 + … + 7,828 5,769 + 5,770 + … + 5,791
Aliquot sequence: 132,940 176,516 132,394 70,106 35,056 42,816 70,976 69,994 36,566 19,594 10,394 5,200 8,254 4,130 4,510 4,562 2,284 — unresolved within range

Continued fraction of √n

√132,940 = [364; (1, 1, 1, 1, 3, 1, 1, 1, 47, 1, 37, 2, 2, 80, 1, 1, 1, 1, 1, 8, 2, 1, 1, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand nine hundred forty
Ordinal
132940th
Binary
100000011101001100
Octal
403514
Hexadecimal
0x2074C
Base64
AgdM
One's complement
4,294,834,355 (32-bit)
Scientific notation
1.3294 × 10⁵
As a duration
132,940 s = 1 day, 12 hours, 55 minutes, 40 seconds
In other bases
ternary (3) 20202100201
quaternary (4) 200131030
quinary (5) 13223230
senary (6) 2503244
septenary (7) 1062403
nonary (9) 222321
undecimal (11) 90975
duodecimal (12) 64b24
tridecimal (13) 48682
tetradecimal (14) 3663a
pentadecimal (15) 295ca

As an angle

132,940° = 369 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλβϡμʹ
Mayan (base 20)
𝋰·𝋬·𝋧·𝋠
Chinese
一十三萬二千九百四十
Chinese (financial)
壹拾參萬貳仟玖佰肆拾
In other modern scripts
Eastern Arabic ١٣٢٩٤٠ Devanagari १३२९४० Bengali ১৩২৯৪০ Tamil ௧௩௨௯௪௦ Thai ๑๓๒๙๔๐ Tibetan ༡༣༢༩༤༠ Khmer ១៣២៩៤០ Lao ໑໓໒໙໔໐ Burmese ၁၃၂၉၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132940, here are decompositions:

  • 11 + 132929 = 132940
  • 29 + 132911 = 132940
  • 47 + 132893 = 132940
  • 53 + 132887 = 132940
  • 83 + 132857 = 132940
  • 89 + 132851 = 132940
  • 107 + 132833 = 132940
  • 179 + 132761 = 132940

Showing the first eight; more decompositions exist.

Unicode codepoint
𠝌
CJK Unified Ideograph-2074C
U+2074C
Other letter (Lo)

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

Hex color
#02074C
RGB(2, 7, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.76.

Address
0.2.7.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.76

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 132,940 and was likely granted around 1872.

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

Position in π

The digit sequence 132940 first appears in π at position 552,438 of the decimal expansion (the 552,438ordinal-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.

Related reading