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150,132

150,132 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.).

150,132 (one hundred fifty thousand one hundred thirty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 12,511. Its proper divisors sum to 200,204, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x24A74.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Moran Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
231,051
Square (n²)
22,539,617,424
Cube (n³)
3,383,917,843,099,968
Divisor count
12
σ(n) — sum of divisors
350,336
φ(n) — Euler's totient
50,040
Sum of prime factors
12,518

Primality

Prime factorization: 2 2 × 3 × 12511

Nearest primes: 150,131 (−1) · 150,151 (+19)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 12511 · 25022 · 37533 · 50044 · 75066 (half) · 150132
Aliquot sum (sum of proper divisors): 200,204
Factor pairs (a × b = 150,132)
1 × 150132
2 × 75066
3 × 50044
4 × 37533
6 × 25022
12 × 12511
First multiples
150,132 · 300,264 (double) · 450,396 · 600,528 · 750,660 · 900,792 · 1,050,924 · 1,201,056 · 1,351,188 · 1,501,320

Sums & aliquot sequence

As consecutive integers: 50,043 + 50,044 + 50,045 18,763 + 18,764 + … + 18,770 6,244 + 6,245 + … + 6,267
Aliquot sequence: 150,132 200,204 150,160 199,148 149,368 130,712 114,388 85,798 42,902 24,898 13,262 7,738 4,250 4,174 2,090 2,230 1,802 — unresolved within range

Continued fraction of √n

√150,132 = [387; (2, 7, 2, 23, 70, 2, 2, 6, 258, 6, 2, 2, 70, 23, 2, 7, 2, 774)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred fifty thousand one hundred thirty-two
Ordinal
150132nd
Binary
100100101001110100
Octal
445164
Hexadecimal
0x24A74
Base64
Akp0
One's complement
4,294,817,163 (32-bit)
Scientific notation
1.50132 × 10⁵
As a duration
150,132 s = 1 day, 17 hours, 42 minutes, 12 seconds
In other bases
ternary (3) 21121221110
quaternary (4) 210221310
quinary (5) 14301012
senary (6) 3115020
septenary (7) 1163463
nonary (9) 247843
undecimal (11) a2884
duodecimal (12) 72a70
tridecimal (13) 53448
tetradecimal (14) 3c9da
pentadecimal (15) 2e73c

As an angle

150,132° = 417 × 360° + 12°
12° ≈ 0.209 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρνρλβʹ
Mayan (base 20)
𝋲·𝋯·𝋦·𝋬
Chinese
一十五萬零一百三十二
Chinese (financial)
壹拾伍萬零壹佰參拾貳
In other modern scripts
Eastern Arabic ١٥٠١٣٢ Devanagari १५०१३२ Bengali ১৫০১৩২ Tamil ௧௫௦௧௩௨ Thai ๑๕๐๑๓๒ Tibetan ༡༥༠༡༣༢ Khmer ១៥០១៣២ Lao ໑໕໐໑໓໒ Burmese ၁၅၀၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 150132, here are decompositions:

  • 41 + 150091 = 150132
  • 43 + 150089 = 150132
  • 71 + 150061 = 150132
  • 79 + 150053 = 150132
  • 131 + 150001 = 150132
  • 139 + 149993 = 150132
  • 163 + 149969 = 150132
  • 179 + 149953 = 150132

Showing the first eight; more decompositions exist.

Unicode codepoint
𤩴
CJK Unified Ideograph-24A74
U+24A74
Other letter (Lo)

UTF-8 encoding: F0 A4 A9 B4 (4 bytes).

Hex color
#024A74
RGB(2, 74, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.74.116.

Address
0.2.74.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.74.116

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 150,132 and was likely granted around 1873.

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

Position in π

The digit sequence 150132 first appears in π at position 286,734 of the decimal expansion (the 286,734ordinal-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°.