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148,736

148,736 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.).

148,736 (one hundred forty-eight thousand seven hundred thirty-six) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁸ × 7 × 83. Its proper divisors sum to 194,656, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x24500.

Abundant Number Evil Number Frugal Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
4,032
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
637,841
Recamán's sequence
a(43,092) = 148,736
Square (n²)
22,122,397,696
Cube (n³)
3,290,396,943,712,256
Divisor count
36
σ(n) — sum of divisors
343,392
φ(n) — Euler's totient
62,976
Sum of prime factors
106

Primality

Prime factorization: 2 8 × 7 × 83

Nearest primes: 148,727 (−9) · 148,747 (+11)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 64 · 83 · 112 · 128 · 166 · 224 · 256 · 332 · 448 · 581 · 664 · 896 · 1162 · 1328 · 1792 · 2324 · 2656 · 4648 · 5312 · 9296 · 10624 · 18592 · 21248 · 37184 · 74368 (half) · 148736
Aliquot sum (sum of proper divisors): 194,656
Factor pairs (a × b = 148,736)
1 × 148736
2 × 74368
4 × 37184
7 × 21248
8 × 18592
14 × 10624
16 × 9296
28 × 5312
32 × 4648
56 × 2656
64 × 2324
83 × 1792
112 × 1328
128 × 1162
166 × 896
224 × 664
256 × 581
332 × 448
First multiples
148,736 · 297,472 (double) · 446,208 · 594,944 · 743,680 · 892,416 · 1,041,152 · 1,189,888 · 1,338,624 · 1,487,360

Sums & aliquot sequence

As consecutive integers: 21,245 + 21,246 + … + 21,251 1,751 + 1,752 + … + 1,833 35 + 36 + … + 546
Aliquot sequence: 148,736 194,656 289,184 361,984 472,784 514,132 397,548 647,132 485,356 376,484 282,370 308,606 154,306 77,156 57,874 33,566 20,698 — unresolved within range

Continued fraction of √n

√148,736 = [385; (1, 1, 1, 30, 5, 2, 1, 3, 3, 4, 3, 1, 6, 1, 2, 1, 1, 1, 2, 1, 4, 1, 2, 47, …)]

Representations

In words
one hundred forty-eight thousand seven hundred thirty-six
Ordinal
148736th
Binary
100100010100000000
Octal
442400
Hexadecimal
0x24500
Base64
AkUA
One's complement
4,294,818,559 (32-bit)
Scientific notation
1.48736 × 10⁵
As a duration
148,736 s = 1 day, 17 hours, 18 minutes, 56 seconds
In other bases
ternary (3) 21120000202
quaternary (4) 210110000
quinary (5) 14224421
senary (6) 3104332
septenary (7) 1156430
nonary (9) 246022
undecimal (11) a1825
duodecimal (12) 720a8
tridecimal (13) 52913
tetradecimal (14) 3c2c0
pentadecimal (15) 2e10b

As an angle

148,736° = 413 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμηψλϛʹ
Mayan (base 20)
𝋲·𝋫·𝋰·𝋰
Chinese
一十四萬八千七百三十六
Chinese (financial)
壹拾肆萬捌仟柒佰參拾陸
In other modern scripts
Eastern Arabic ١٤٨٧٣٦ Devanagari १४८७३६ Bengali ১৪৮৭৩৬ Tamil ௧௪௮௭௩௬ Thai ๑๔๘๗๓๖ Tibetan ༡༤༨༧༣༦ Khmer ១៤៨៧៣៦ Lao ໑໔໘໗໓໖ Burmese ၁၄၈၇၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 148736, here are decompositions:

  • 13 + 148723 = 148736
  • 43 + 148693 = 148736
  • 67 + 148669 = 148736
  • 73 + 148663 = 148736
  • 97 + 148639 = 148736
  • 103 + 148633 = 148736
  • 109 + 148627 = 148736
  • 127 + 148609 = 148736

Showing the first eight; more decompositions exist.

Unicode codepoint
𤔀
CJK Unified Ideograph-24500
U+24500
Other letter (Lo)

UTF-8 encoding: F0 A4 94 80 (4 bytes).

Hex color
#024500
RGB(2, 69, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.69.0.

Address
0.2.69.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.69.0

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 148,736 and was likely granted around 1873.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.