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148,320

148,320 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.).

148,320 (one hundred forty-eight thousand three hundred twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 5 × 103. Its proper divisors sum to 362,736, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x24360.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
23,841
Recamán's sequence
a(211,776) = 148,320
Square (n²)
21,998,822,400
Cube (n³)
3,262,865,338,368,000
Divisor count
72
σ(n) — sum of divisors
511,056
φ(n) — Euler's totient
39,168
Sum of prime factors
124

Primality

Prime factorization: 2 5 × 3 2 × 5 × 103

Nearest primes: 148,303 (−17) · 148,331 (+11)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 32 · 36 · 40 · 45 · 48 · 60 · 72 · 80 · 90 · 96 · 103 · 120 · 144 · 160 · 180 · 206 · 240 · 288 · 309 · 360 · 412 · 480 · 515 · 618 · 720 · 824 · 927 · 1030 · 1236 · 1440 · 1545 · 1648 · 1854 · 2060 · 2472 · 3090 · 3296 · 3708 · 4120 · 4635 · 4944 · 6180 · 7416 · 8240 · 9270 · 9888 · 12360 · 14832 · 16480 · 18540 · 24720 · 29664 · 37080 · 49440 · 74160 (half) · 148320
Aliquot sum (sum of proper divisors): 362,736
Factor pairs (a × b = 148,320)
1 × 148320
2 × 74160
3 × 49440
4 × 37080
5 × 29664
6 × 24720
8 × 18540
9 × 16480
10 × 14832
12 × 12360
15 × 9888
16 × 9270
18 × 8240
20 × 7416
24 × 6180
30 × 4944
32 × 4635
36 × 4120
40 × 3708
45 × 3296
48 × 3090
60 × 2472
72 × 2060
80 × 1854
90 × 1648
96 × 1545
103 × 1440
120 × 1236
144 × 1030
160 × 927
180 × 824
206 × 720
240 × 618
288 × 515
309 × 480
360 × 412
First multiples
148,320 · 296,640 (double) · 444,960 · 593,280 · 741,600 · 889,920 · 1,038,240 · 1,186,560 · 1,334,880 · 1,483,200

Sums & aliquot sequence

As consecutive integers: 49,439 + 49,440 + 49,441 29,662 + 29,663 + 29,664 + 29,665 + 29,666 16,476 + 16,477 + … + 16,484 9,881 + 9,882 + … + 9,895
Aliquot sequence: 148,320 362,736 749,544 1,124,376 1,942,824 3,327,576 6,522,024 9,852,216 17,467,464 32,811,576 62,613,264 123,152,624 169,971,472 208,575,728 195,774,880 332,820,320 565,797,568 — unresolved within range

Continued fraction of √n

√148,320 = [385; (8, 9, 2, 1, 1, 1, 1, 15, 9, 1, 1, 3, 2, 2, 10, 2, 3, 1, 1, 3, 1, 191, 1, 3, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-eight thousand three hundred twenty
Ordinal
148320th
Binary
100100001101100000
Octal
441540
Hexadecimal
0x24360
Base64
AkNg
One's complement
4,294,818,975 (32-bit)
Scientific notation
1.4832 × 10⁵
As a duration
148,320 s = 1 day, 17 hours, 12 minutes
In other bases
ternary (3) 21112110100
quaternary (4) 210031200
quinary (5) 14221240
senary (6) 3102400
septenary (7) 1155264
nonary (9) 245410
undecimal (11) a1487
duodecimal (12) 71a00
tridecimal (13) 52683
tetradecimal (14) 3c0a4
pentadecimal (15) 2de30

As an angle

148,320° = 412 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρμητκʹ
Mayan (base 20)
𝋲·𝋪·𝋰·𝋠
Chinese
一十四萬八千三百二十
Chinese (financial)
壹拾肆萬捌仟參佰貳拾
In other modern scripts
Eastern Arabic ١٤٨٣٢٠ Devanagari १४८३२० Bengali ১৪৮৩২০ Tamil ௧௪௮௩௨௦ Thai ๑๔๘๓๒๐ Tibetan ༡༤༨༣༢༠ Khmer ១៤៨៣២០ Lao ໑໔໘໓໒໐ Burmese ၁၄၈၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 148320, here are decompositions:

  • 17 + 148303 = 148320
  • 19 + 148301 = 148320
  • 41 + 148279 = 148320
  • 71 + 148249 = 148320
  • 113 + 148207 = 148320
  • 127 + 148193 = 148320
  • 149 + 148171 = 148320
  • 163 + 148157 = 148320

Showing the first eight; more decompositions exist.

Unicode codepoint
𤍠
CJK Unified Ideograph-24360
U+24360
Other letter (Lo)

UTF-8 encoding: F0 A4 8D A0 (4 bytes).

Hex color
#024360
RGB(2, 67, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.67.96.

Address
0.2.67.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.67.96

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 148,320 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

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