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132,770

132,770 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.).

132,770 (one hundred thirty-two thousand seven hundred seventy) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 11 × 17 × 71. Its proper divisors sum to 147,166, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x206A2.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
77,231
Square (n²)
17,627,872,900
Cube (n³)
2,340,452,684,933,000
Divisor count
32
σ(n) — sum of divisors
279,936
φ(n) — Euler's totient
44,800
Sum of prime factors
106

Primality

Prime factorization: 2 × 5 × 11 × 17 × 71

Nearest primes: 132,763 (−7) · 132,817 (+47)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 10 · 11 · 17 · 22 · 34 · 55 · 71 · 85 · 110 · 142 · 170 · 187 · 355 · 374 · 710 · 781 · 935 · 1207 · 1562 · 1870 · 2414 · 3905 · 6035 · 7810 · 12070 · 13277 · 26554 · 66385 (half) · 132770
Aliquot sum (sum of proper divisors): 147,166
Factor pairs (a × b = 132,770)
1 × 132770
2 × 66385
5 × 26554
10 × 13277
11 × 12070
17 × 7810
22 × 6035
34 × 3905
55 × 2414
71 × 1870
85 × 1562
110 × 1207
142 × 935
170 × 781
187 × 710
355 × 374
First multiples
132,770 · 265,540 (double) · 398,310 · 531,080 · 663,850 · 796,620 · 929,390 · 1,062,160 · 1,194,930 · 1,327,700

Sums & aliquot sequence

As consecutive integers: 33,191 + 33,192 + 33,193 + 33,194 26,552 + 26,553 + 26,554 + 26,555 + 26,556 12,065 + 12,066 + … + 12,075 7,802 + 7,803 + … + 7,818
Aliquot sequence: 132,770 147,166 73,586 36,796 27,604 21,900 42,332 35,788 29,732 22,306 12,974 8,026 4,016 3,796 3,456 6,744 10,176 — unresolved within range

Continued fraction of √n

√132,770 = [364; (2, 1, 1, 1, 12, 1, 1, 1, 2, 728)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand seven hundred seventy
Ordinal
132770th
Binary
100000011010100010
Octal
403242
Hexadecimal
0x206A2
Base64
Agai
One's complement
4,294,834,525 (32-bit)
Scientific notation
1.3277 × 10⁵
As a duration
132,770 s = 1 day, 12 hours, 52 minutes, 50 seconds
In other bases
ternary (3) 20202010102
quaternary (4) 200122202
quinary (5) 13222040
senary (6) 2502402
septenary (7) 1062041
nonary (9) 222112
undecimal (11) 90830
duodecimal (12) 64a02
tridecimal (13) 48581
tetradecimal (14) 36558
pentadecimal (15) 29515

As an angle

132,770° = 368 × 360° + 290°
290° ≈ 5.061 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλβψοʹ
Mayan (base 20)
𝋰·𝋫·𝋲·𝋪
Chinese
一十三萬二千七百七十
Chinese (financial)
壹拾參萬貳仟柒佰柒拾
In other modern scripts
Eastern Arabic ١٣٢٧٧٠ Devanagari १३२७७० Bengali ১৩২৭৭০ Tamil ௧௩௨௭௭௦ Thai ๑๓๒๗๗๐ Tibetan ༡༣༢༧༧༠ Khmer ១៣២៧៧០ Lao ໑໓໒໗໗໐ Burmese ၁၃၂၇၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132770, here are decompositions:

  • 7 + 132763 = 132770
  • 13 + 132757 = 132770
  • 19 + 132751 = 132770
  • 31 + 132739 = 132770
  • 61 + 132709 = 132770
  • 73 + 132697 = 132770
  • 103 + 132667 = 132770
  • 109 + 132661 = 132770

Showing the first eight; more decompositions exist.

Unicode codepoint
𠚢
CJK Unified Ideograph-206A2
U+206A2
Other letter (Lo)

UTF-8 encoding: F0 A0 9A A2 (4 bytes).

Hex color
#0206A2
RGB(2, 6, 162)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.162.

Address
0.2.6.162
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.162

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 132,770 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 132770 first appears in π at position 227,928 of the decimal expansion (the 227,928ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.