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136,752

136,752 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.).

136,752 (one hundred thirty-six thousand seven hundred fifty-two) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 7 × 11 × 37. Its proper divisors sum to 315,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21630.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,260
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
257,631
Square (n²)
18,701,109,504
Cube (n³)
2,557,414,126,891,008
Divisor count
80
σ(n) — sum of divisors
452,352
φ(n) — Euler's totient
34,560
Sum of prime factors
66

Primality

Prime factorization: 2 4 × 3 × 7 × 11 × 37

Nearest primes: 136,751 (−1) · 136,753 (+1)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 11 · 12 · 14 · 16 · 21 · 22 · 24 · 28 · 33 · 37 · 42 · 44 · 48 · 56 · 66 · 74 · 77 · 84 · 88 · 111 · 112 · 132 · 148 · 154 · 168 · 176 · 222 · 231 · 259 · 264 · 296 · 308 · 336 · 407 · 444 · 462 · 518 · 528 · 592 · 616 · 777 · 814 · 888 · 924 · 1036 · 1221 · 1232 · 1554 · 1628 · 1776 · 1848 · 2072 · 2442 · 2849 · 3108 · 3256 · 3696 · 4144 · 4884 · 5698 · 6216 · 6512 · 8547 · 9768 · 11396 · 12432 · 17094 · 19536 · 22792 · 34188 · 45584 · 68376 (half) · 136752
Aliquot sum (sum of proper divisors): 315,600
Factor pairs (a × b = 136,752)
1 × 136752
2 × 68376
3 × 45584
4 × 34188
6 × 22792
7 × 19536
8 × 17094
11 × 12432
12 × 11396
14 × 9768
16 × 8547
21 × 6512
22 × 6216
24 × 5698
28 × 4884
33 × 4144
37 × 3696
42 × 3256
44 × 3108
48 × 2849
56 × 2442
66 × 2072
74 × 1848
77 × 1776
84 × 1628
88 × 1554
111 × 1232
112 × 1221
132 × 1036
148 × 924
154 × 888
168 × 814
176 × 777
222 × 616
231 × 592
259 × 528
264 × 518
296 × 462
308 × 444
336 × 407
First multiples
136,752 · 273,504 (double) · 410,256 · 547,008 · 683,760 · 820,512 · 957,264 · 1,094,016 · 1,230,768 · 1,367,520

Sums & aliquot sequence

As consecutive integers: 45,583 + 45,584 + 45,585 19,533 + 19,534 + … + 19,539 12,427 + 12,428 + … + 12,437 6,502 + 6,503 + … + 6,522
Aliquot sequence: 136,752 315,600 699,216 1,366,128 2,551,032 4,988,448 9,198,270 14,717,466 17,170,416 33,897,744 63,402,576 100,387,536 161,527,248 291,475,380 641,247,180 1,414,105,140 3,111,032,652 — unresolved within range

Continued fraction of √n

√136,752 = [369; (1, 3, 1, 738)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand seven hundred fifty-two
Ordinal
136752nd
Binary
100001011000110000
Octal
413060
Hexadecimal
0x21630
Base64
AhYw
One's complement
4,294,830,543 (32-bit)
Scientific notation
1.36752 × 10⁵
As a duration
136,752 s = 1 day, 13 hours, 59 minutes, 12 seconds
In other bases
ternary (3) 20221120220
quaternary (4) 201120300
quinary (5) 13334002
senary (6) 2533040
septenary (7) 1106460
nonary (9) 227526
undecimal (11) 93820
duodecimal (12) 67180
tridecimal (13) 4a325
tetradecimal (14) 37ba0
pentadecimal (15) 2a7bc

As an angle

136,752° = 379 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλϛψνβʹ
Mayan (base 20)
𝋱·𝋡·𝋱·𝋬
Chinese
一十三萬六千七百五十二
Chinese (financial)
壹拾參萬陸仟柒佰伍拾貳
In other modern scripts
Eastern Arabic ١٣٦٧٥٢ Devanagari १३६७५२ Bengali ১৩৬৭৫২ Tamil ௧௩௬௭௫௨ Thai ๑๓๖๗๕๒ Tibetan ༡༣༦༧༥༢ Khmer ១៣៦៧៥២ Lao ໑໓໖໗໕໒ Burmese ၁၃၆၇၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136752, here are decompositions:

  • 13 + 136739 = 136752
  • 19 + 136733 = 136752
  • 41 + 136711 = 136752
  • 43 + 136709 = 136752
  • 59 + 136693 = 136752
  • 61 + 136691 = 136752
  • 101 + 136651 = 136752
  • 103 + 136649 = 136752

Showing the first eight; more decompositions exist.

Unicode codepoint
𡘰
CJK Unified Ideograph-21630
U+21630
Other letter (Lo)

UTF-8 encoding: F0 A1 98 B0 (4 bytes).

Hex color
#021630
RGB(2, 22, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.22.48.

Address
0.2.22.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.22.48

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 136,752 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 136752 first appears in π at position 224,210 of the decimal expansion (the 224,210ordinal-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°.