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132,749

132,749 is a prime, odd.

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.).

132,749 (one hundred thirty-two thousand seven hundred forty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2068D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
1,512
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
947,231
Square (n²)
17,622,297,001
Cube (n³)
2,339,342,304,585,749
Divisor count
2
σ(n) — sum of divisors
132,750
φ(n) — Euler's totient
132,748

Primality

132,749 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 132749
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 132,749)
1 × 132749
First multiples
132,749 · 265,498 (double) · 398,247 · 530,996 · 663,745 · 796,494 · 929,243 · 1,061,992 · 1,194,741 · 1,327,490

Sums & aliquot sequence

As a sum of two squares: 82² + 355²
As consecutive integers: 66,374 + 66,375

Continued fraction of √n

√132,749 = [364; (2, 1, 7, 3, 1, 15, 1, 4, 11, 1, 2, 1, 8, 1, 2, 1, 1, 3, 1, 20, 25, 1, 41, 1, …)]

Representations

In words
one hundred thirty-two thousand seven hundred forty-nine
Ordinal
132749th
Binary
100000011010001101
Octal
403215
Hexadecimal
0x2068D
Base64
AgaN
One's complement
4,294,834,546 (32-bit)
Scientific notation
1.32749 × 10⁵
As a duration
132,749 s = 1 day, 12 hours, 52 minutes, 29 seconds
In other bases
ternary (3) 20202002122
quaternary (4) 200122031
quinary (5) 13221444
senary (6) 2502325
septenary (7) 1062011
nonary (9) 222078
undecimal (11) 90811
duodecimal (12) 649a5
tridecimal (13) 48566
tetradecimal (14) 36541
pentadecimal (15) 294ee

As an angle

132,749° = 368 × 360° + 269°
269° ≈ 4.695 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβψμθʹ
Mayan (base 20)
𝋰·𝋫·𝋱·𝋩
Chinese
一十三萬二千七百四十九
Chinese (financial)
壹拾參萬貳仟柒佰肆拾玖
In other modern scripts
Eastern Arabic ١٣٢٧٤٩ Devanagari १३२७४९ Bengali ১৩২৭৪৯ Tamil ௧௩௨௭௪௯ Thai ๑๓๒๗๔๙ Tibetan ༡༣༢༧༤༩ Khmer ១៣២៧៤៩ Lao ໑໓໒໗໔໙ Burmese ၁၃၂၇၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 132751.

Unicode codepoint
𠚍
CJK Unified Ideograph-2068D
U+2068D
Other letter (Lo)

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

Hex color
#02068D
RGB(2, 6, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.141.

Address
0.2.6.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.141

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 132,749 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 132749 first appears in π at position 259,369 of the decimal expansion (the 259,369ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.