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132,156

132,156 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.).

132,156 (one hundred thirty-two thousand one hundred fifty-six) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 3,671. Its proper divisors sum to 201,996, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2043C.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
180
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
651,231
Recamán's sequence
a(228,060) = 132,156
Square (n²)
17,465,208,336
Cube (n³)
2,308,132,072,852,416
Divisor count
18
σ(n) — sum of divisors
334,152
φ(n) — Euler's totient
44,040
Sum of prime factors
3,681

Primality

Prime factorization: 2 2 × 3 2 × 3671

Nearest primes: 132,151 (−5) · 132,157 (+1)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 3671 · 7342 · 11013 · 14684 · 22026 · 33039 · 44052 · 66078 (half) · 132156
Aliquot sum (sum of proper divisors): 201,996
Factor pairs (a × b = 132,156)
1 × 132156
2 × 66078
3 × 44052
4 × 33039
6 × 22026
9 × 14684
12 × 11013
18 × 7342
36 × 3671
First multiples
132,156 · 264,312 (double) · 396,468 · 528,624 · 660,780 · 792,936 · 925,092 · 1,057,248 · 1,189,404 · 1,321,560

Sums & aliquot sequence

As consecutive integers: 44,051 + 44,052 + 44,053 16,516 + 16,517 + … + 16,523 14,680 + 14,681 + … + 14,688 5,495 + 5,496 + … + 5,518
Aliquot sequence: 132,156 201,996 327,988 250,604 222,484 166,870 177,866 109,498 58,010 46,426 24,134 15,394 8,366 4,594 2,300 2,908 2,188 — unresolved within range

Continued fraction of √n

√132,156 = [363; (1, 1, 7, 6, 1, 1, 6, 3, 1, 7, 1, 3, 1, 6, 2, 9, 1, 1, 1, 2, 1, 1, 2, 1, …)]

Representations

In words
one hundred thirty-two thousand one hundred fifty-six
Ordinal
132156th
Binary
100000010000111100
Octal
402074
Hexadecimal
0x2043C
Base64
AgQ8
One's complement
4,294,835,139 (32-bit)
Scientific notation
1.32156 × 10⁵
As a duration
132,156 s = 1 day, 12 hours, 42 minutes, 36 seconds
In other bases
ternary (3) 20201021200
quaternary (4) 200100330
quinary (5) 13212111
senary (6) 2455500
septenary (7) 1060203
nonary (9) 221250
undecimal (11) 90322
duodecimal (12) 64590
tridecimal (13) 481cb
tetradecimal (14) 3623a
pentadecimal (15) 29256

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβρνϛʹ
Mayan (base 20)
𝋰·𝋪·𝋧·𝋰
Chinese
一十三萬二千一百五十六
Chinese (financial)
壹拾參萬貳仟壹佰伍拾陸
In other modern scripts
Eastern Arabic ١٣٢١٥٦ Devanagari १३२१५६ Bengali ১৩২১৫৬ Tamil ௧௩௨௧௫௬ Thai ๑๓๒๑๕๖ Tibetan ༡༣༢༡༥༦ Khmer ១៣២១៥៦ Lao ໑໓໒໑໕໖ Burmese ၁၃၂၁၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132156, here are decompositions:

  • 5 + 132151 = 132156
  • 19 + 132137 = 132156
  • 43 + 132113 = 132156
  • 47 + 132109 = 132156
  • 53 + 132103 = 132156
  • 97 + 132059 = 132156
  • 107 + 132049 = 132156
  • 109 + 132047 = 132156

Showing the first eight; more decompositions exist.

Unicode codepoint
𠐼
CJK Unified Ideograph-2043C
U+2043C
Other letter (Lo)

UTF-8 encoding: F0 A0 90 BC (4 bytes).

Hex color
#02043C
RGB(2, 4, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.4.60.

Address
0.2.4.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.4.60

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 132,156 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 132156 first appears in π at position 23,626 of the decimal expansion (the 23,626ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.