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136,920

136,920 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.).

136,920 (one hundred thirty-six thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 7 × 163. Its proper divisors sum to 335,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x216D8.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
29,631
Square (n²)
18,747,086,400
Cube (n³)
2,566,851,069,888,000
Divisor count
64
σ(n) — sum of divisors
472,320
φ(n) — Euler's totient
31,104
Sum of prime factors
184

Primality

Prime factorization: 2 3 × 3 × 5 × 7 × 163

Nearest primes: 136,897 (−23) · 136,943 (+23)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 28 · 30 · 35 · 40 · 42 · 56 · 60 · 70 · 84 · 105 · 120 · 140 · 163 · 168 · 210 · 280 · 326 · 420 · 489 · 652 · 815 · 840 · 978 · 1141 · 1304 · 1630 · 1956 · 2282 · 2445 · 3260 · 3423 · 3912 · 4564 · 4890 · 5705 · 6520 · 6846 · 9128 · 9780 · 11410 · 13692 · 17115 · 19560 · 22820 · 27384 · 34230 · 45640 · 68460 (half) · 136920
Aliquot sum (sum of proper divisors): 335,400
Factor pairs (a × b = 136,920)
1 × 136920
2 × 68460
3 × 45640
4 × 34230
5 × 27384
6 × 22820
7 × 19560
8 × 17115
10 × 13692
12 × 11410
14 × 9780
15 × 9128
20 × 6846
21 × 6520
24 × 5705
28 × 4890
30 × 4564
35 × 3912
40 × 3423
42 × 3260
56 × 2445
60 × 2282
70 × 1956
84 × 1630
105 × 1304
120 × 1141
140 × 978
163 × 840
168 × 815
210 × 652
280 × 489
326 × 420
First multiples
136,920 · 273,840 (double) · 410,760 · 547,680 · 684,600 · 821,520 · 958,440 · 1,095,360 · 1,232,280 · 1,369,200

Sums & aliquot sequence

As consecutive integers: 45,639 + 45,640 + 45,641 27,382 + 27,383 + 27,384 + 27,385 + 27,386 19,557 + 19,558 + … + 19,563 9,121 + 9,122 + … + 9,135
Aliquot sequence: 136,920 335,400 810,360 1,824,480 5,330,304 12,225,936 20,450,544 33,176,976 65,400,048 154,251,072 287,883,426 295,172,574 295,172,586 371,637,558 461,106,222 461,469,090 664,832,670 — unresolved within range

Continued fraction of √n

√136,920 = [370; (37, 740)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand nine hundred twenty
Ordinal
136920th
Binary
100001011011011000
Octal
413330
Hexadecimal
0x216D8
Base64
AhbY
One's complement
4,294,830,375 (32-bit)
Scientific notation
1.3692 × 10⁵
As a duration
136,920 s = 1 day, 14 hours, 2 minutes
In other bases
ternary (3) 20221211010
quaternary (4) 201123120
quinary (5) 13340140
senary (6) 2533520
septenary (7) 1110120
nonary (9) 227733
undecimal (11) 93963
duodecimal (12) 672a0
tridecimal (13) 4a424
tetradecimal (14) 37c80
pentadecimal (15) 2a880

As an angle

136,920° = 380 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλϛϡκʹ
Mayan (base 20)
𝋱·𝋢·𝋦·𝋠
Chinese
一十三萬六千九百二十
Chinese (financial)
壹拾參萬陸仟玖佰貳拾
In other modern scripts
Eastern Arabic ١٣٦٩٢٠ Devanagari १३६९२० Bengali ১৩৬৯২০ Tamil ௧௩௬௯௨௦ Thai ๑๓๖๙๒๐ Tibetan ༡༣༦༩༢༠ Khmer ១៣៦៩២០ Lao ໑໓໖໙໒໐ Burmese ၁၃၆၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136920, here are decompositions:

  • 23 + 136897 = 136920
  • 31 + 136889 = 136920
  • 37 + 136883 = 136920
  • 41 + 136879 = 136920
  • 59 + 136861 = 136920
  • 61 + 136859 = 136920
  • 71 + 136849 = 136920
  • 79 + 136841 = 136920

Showing the first eight; more decompositions exist.

Unicode codepoint
𡛘
CJK Unified Ideograph-216D8
U+216D8
Other letter (Lo)

UTF-8 encoding: F0 A1 9B 98 (4 bytes).

Hex color
#0216D8
RGB(2, 22, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.22.216.

Address
0.2.22.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.22.216

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 136,920 and was likely granted around 1872.

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

Related reading

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