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1,023,720

1,023,720 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.).

1,023,720 (one million twenty-three thousand seven hundred twenty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 19 × 449. Its proper divisors sum to 2,216,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9EE8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
273,201
Square (n²)
1,048,002,638,400
Cube (n³)
1,072,861,260,982,848,000
Divisor count
64
σ(n) — sum of divisors
3,240,000
φ(n) — Euler's totient
258,048
Sum of prime factors
482

Primality

Prime factorization: 2 3 × 3 × 5 × 19 × 449

Nearest primes: 1,023,719 (−1) · 1,023,721 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 19 · 20 · 24 · 30 · 38 · 40 · 57 · 60 · 76 · 95 · 114 · 120 · 152 · 190 · 228 · 285 · 380 · 449 · 456 · 570 · 760 · 898 · 1140 · 1347 · 1796 · 2245 · 2280 · 2694 · 3592 · 4490 · 5388 · 6735 · 8531 · 8980 · 10776 · 13470 · 17062 · 17960 · 25593 · 26940 · 34124 · 42655 · 51186 · 53880 · 68248 · 85310 · 102372 · 127965 · 170620 · 204744 · 255930 · 341240 · 511860 (half) · 1023720
Aliquot sum (sum of proper divisors): 2,216,280
Factor pairs (a × b = 1,023,720)
1 × 1023720
2 × 511860
3 × 341240
4 × 255930
5 × 204744
6 × 170620
8 × 127965
10 × 102372
12 × 85310
15 × 68248
19 × 53880
20 × 51186
24 × 42655
30 × 34124
38 × 26940
40 × 25593
57 × 17960
60 × 17062
76 × 13470
95 × 10776
114 × 8980
120 × 8531
152 × 6735
190 × 5388
228 × 4490
285 × 3592
380 × 2694
449 × 2280
456 × 2245
570 × 1796
760 × 1347
898 × 1140
First multiples
1,023,720 · 2,047,440 (double) · 3,071,160 · 4,094,880 · 5,118,600 · 6,142,320 · 7,166,040 · 8,189,760 · 9,213,480 · 10,237,200

Sums & aliquot sequence

As consecutive integers: 341,239 + 341,240 + 341,241 204,742 + 204,743 + 204,744 + 204,745 + 204,746 68,241 + 68,242 + … + 68,255 63,975 + 63,976 + … + 63,990
Aliquot sequence: 1,023,720 2,216,280 5,456,040 11,780,760 25,428,840 55,221,240 113,984,520 266,313,720 532,627,800 1,141,907,880 2,286,674,520 5,137,124,520 12,838,499,160 — keeps growing

Continued fraction of √n

√1,023,720 = [1011; (1, 3, 1, 3, 2, 2, 5, 3, 1, 1, 1, 3, 1, 1, 3, 8, 1, 11, 12, 3, 1, 12, 4, 1, …)]

Representations

In words
one million twenty-three thousand seven hundred twenty
Ordinal
1023720th
Binary
11111001111011101000
Octal
3717350
Hexadecimal
0xF9EE8
Base64
D57o
One's complement
4,293,943,575 (32-bit)
Scientific notation
1.02372 × 10⁶
As a duration
1,023,720 s = 11 days, 20 hours, 22 minutes
In other bases
ternary (3) 1221000021120
quaternary (4) 3321323220
quinary (5) 230224340
senary (6) 33535240
septenary (7) 11462415
nonary (9) 1830246
undecimal (11) 63a155
duodecimal (12) 414520
tridecimal (13) 29ac69
tetradecimal (14) 1c910c
pentadecimal (15) 1534d0

As an angle

1,023,720° = 2,843 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零二萬三千七百二十
Chinese (financial)
壹佰零貳萬參仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٠٢٣٧٢٠ Devanagari १०२३७२० Bengali ১০২৩৭২০ Tamil ௧௦௨௩௭௨௦ Thai ๑๐๒๓๗๒๐ Tibetan ༡༠༢༣༧༢༠ Khmer ១០២៣៧២០ Lao ໑໐໒໓໗໒໐ Burmese ၁၀၂၃၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1023720, here are decompositions:

  • 23 + 1023697 = 1023720
  • 67 + 1023653 = 1023720
  • 149 + 1023571 = 1023720
  • 163 + 1023557 = 1023720
  • 179 + 1023541 = 1023720
  • 199 + 1023521 = 1023720
  • 233 + 1023487 = 1023720
  • 307 + 1023413 = 1023720

Showing the first eight; more decompositions exist.

Hex color
#0F9EE8
RGB(15, 158, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.158.232.

Address
0.15.158.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.158.232

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 3720 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3720-02-01 (DMMYYYY (Euro, single-digit day))
  • 3720-10-02 (MMDYYYY (US, single-digit day))
  • 3720-02-10 (DDMYYYY (Euro, single-digit month))
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 1,023,720 and was likely granted around 1912.

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

Position in π

The digit sequence 1023720 first appears in π at position 582,204 of the decimal expansion (the 582,204ordinal-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°.