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132,948

132,948 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.).

132,948 (one hundred thirty-two thousand nine hundred forty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3³ × 1,231. Its proper divisors sum to 212,012, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20754.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
1,728
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
849,231
Square (n²)
17,675,170,704
Cube (n³)
2,349,878,594,755,392
Divisor count
24
σ(n) — sum of divisors
344,960
φ(n) — Euler's totient
44,280
Sum of prime factors
1,244

Primality

Prime factorization: 2 2 × 3 3 × 1231

Nearest primes: 132,947 (−1) · 132,949 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 108 · 1231 · 2462 · 3693 · 4924 · 7386 · 11079 · 14772 · 22158 · 33237 · 44316 · 66474 (half) · 132948
Aliquot sum (sum of proper divisors): 212,012
Factor pairs (a × b = 132,948)
1 × 132948
2 × 66474
3 × 44316
4 × 33237
6 × 22158
9 × 14772
12 × 11079
18 × 7386
27 × 4924
36 × 3693
54 × 2462
108 × 1231
First multiples
132,948 · 265,896 (double) · 398,844 · 531,792 · 664,740 · 797,688 · 930,636 · 1,063,584 · 1,196,532 · 1,329,480

Sums & aliquot sequence

As consecutive integers: 44,315 + 44,316 + 44,317 16,615 + 16,616 + … + 16,622 14,768 + 14,769 + … + 14,776 5,528 + 5,529 + … + 5,551
Aliquot sequence: 132,948 212,012 159,016 193,784 169,576 193,304 175,216 172,976 180,424 175,976 153,994 83,354 43,654 30,938 17,062 9,938 4,972 — unresolved within range

Continued fraction of √n

√132,948 = [364; (1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 1, 2, 2, 31, 3, 2, 9, 6, 45, 2, 2, 2, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand nine hundred forty-eight
Ordinal
132948th
Binary
100000011101010100
Octal
403524
Hexadecimal
0x20754
Base64
AgdU
One's complement
4,294,834,347 (32-bit)
Scientific notation
1.32948 × 10⁵
As a duration
132,948 s = 1 day, 12 hours, 55 minutes, 48 seconds
In other bases
ternary (3) 20202101000
quaternary (4) 200131110
quinary (5) 13223243
senary (6) 2503300
septenary (7) 1062414
nonary (9) 222330
undecimal (11) 90982
duodecimal (12) 64b30
tridecimal (13) 4868a
tetradecimal (14) 36644
pentadecimal (15) 295d3

As an angle

132,948° = 369 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβϡμηʹ
Mayan (base 20)
𝋰·𝋬·𝋧·𝋨
Chinese
一十三萬二千九百四十八
Chinese (financial)
壹拾參萬貳仟玖佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٢٩٤٨ Devanagari १३२९४८ Bengali ১৩২৯৪৮ Tamil ௧௩௨௯௪௮ Thai ๑๓๒๙๔๘ Tibetan ༡༣༢༩༤༨ Khmer ១៣២៩៤៨ Lao ໑໓໒໙໔໘ Burmese ၁၃၂၉၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132948, here are decompositions:

  • 19 + 132929 = 132948
  • 37 + 132911 = 132948
  • 61 + 132887 = 132948
  • 89 + 132859 = 132948
  • 97 + 132851 = 132948
  • 131 + 132817 = 132948
  • 191 + 132757 = 132948
  • 197 + 132751 = 132948

Showing the first eight; more decompositions exist.

Unicode codepoint
𠝔
CJK Unified Ideograph-20754
U+20754
Other letter (Lo)

UTF-8 encoding: F0 A0 9D 94 (4 bytes).

Hex color
#020754
RGB(2, 7, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.84.

Address
0.2.7.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.84

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 132,948 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 132948 first appears in π at position 336,713 of the decimal expansion (the 336,713ordinal-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°.