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1,024,420

1,024,420 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.).

1,024,420 (one million twenty-four thousand four hundred twenty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 17 × 23 × 131. Its proper divisors sum to 1,370,588, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA1A4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
244,201
Square (n²)
1,049,436,336,400
Cube (n³)
1,075,063,571,734,888,000
Divisor count
48
σ(n) — sum of divisors
2,395,008
φ(n) — Euler's totient
366,080
Sum of prime factors
180

Primality

Prime factorization: 2 2 × 5 × 17 × 23 × 131

Nearest primes: 1,024,411 (−9) · 1,024,421 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 10 · 17 · 20 · 23 · 34 · 46 · 68 · 85 · 92 · 115 · 131 · 170 · 230 · 262 · 340 · 391 · 460 · 524 · 655 · 782 · 1310 · 1564 · 1955 · 2227 · 2620 · 3013 · 3910 · 4454 · 6026 · 7820 · 8908 · 11135 · 12052 · 15065 · 22270 · 30130 · 44540 · 51221 · 60260 · 102442 · 204884 · 256105 · 512210 (half) · 1024420
Aliquot sum (sum of proper divisors): 1,370,588
Factor pairs (a × b = 1,024,420)
1 × 1024420
2 × 512210
4 × 256105
5 × 204884
10 × 102442
17 × 60260
20 × 51221
23 × 44540
34 × 30130
46 × 22270
68 × 15065
85 × 12052
92 × 11135
115 × 8908
131 × 7820
170 × 6026
230 × 4454
262 × 3910
340 × 3013
391 × 2620
460 × 2227
524 × 1955
655 × 1564
782 × 1310
First multiples
1,024,420 · 2,048,840 (double) · 3,073,260 · 4,097,680 · 5,122,100 · 6,146,520 · 7,170,940 · 8,195,360 · 9,219,780 · 10,244,200

Sums & aliquot sequence

As consecutive integers: 204,882 + 204,883 + 204,884 + 204,885 + 204,886 128,049 + 128,050 + … + 128,056 60,252 + 60,253 + … + 60,268 44,529 + 44,530 + … + 44,551
Aliquot sequence: 1,024,420 1,370,588 1,027,948 794,292 1,059,084 1,957,748 1,731,952 1,623,736 1,420,784 1,332,016 1,671,884 1,316,500 1,559,828 1,169,878 641,642 320,824 409,256 — unresolved within range

Continued fraction of √n

√1,024,420 = [1012; (7, 2, 1, 224, 4, 4, 1, 2, 3, 24, 1, 2, 3, 1, 7, 3, 2, 1, 1, 2, 5, 3, 6, 31, …)]

Representations

In words
one million twenty-four thousand four hundred twenty
Ordinal
1024420th
Binary
11111010000110100100
Octal
3720644
Hexadecimal
0xFA1A4
Base64
D6Gk
One's complement
4,293,942,875 (32-bit)
Scientific notation
1.02442 × 10⁶
As a duration
1,024,420 s = 11 days, 20 hours, 33 minutes, 40 seconds
In other bases
ternary (3) 1221001020111
quaternary (4) 3322012210
quinary (5) 230240140
senary (6) 33542404
septenary (7) 11464435
nonary (9) 1831214
undecimal (11) 63a731
duodecimal (12) 414a04
tridecimal (13) 29b387
tetradecimal (14) 1c948c
pentadecimal (15) 1537ea

As an angle

1,024,420° = 2,845 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零二萬四千四百二十
Chinese (financial)
壹佰零貳萬肆仟肆佰貳拾
In other modern scripts
Eastern Arabic ١٠٢٤٤٢٠ Devanagari १०२४४२० Bengali ১০২৪৪২০ Tamil ௧௦௨௪௪௨௦ Thai ๑๐๒๔๔๒๐ Tibetan ༡༠༢༤༤༢༠ Khmer ១០២៤៤២០ Lao ໑໐໒໔໔໒໐ Burmese ၁၀၂၄၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024420, here are decompositions:

  • 29 + 1024391 = 1024420
  • 41 + 1024379 = 1024420
  • 83 + 1024337 = 1024420
  • 101 + 1024319 = 1024420
  • 107 + 1024313 = 1024420
  • 113 + 1024307 = 1024420
  • 269 + 1024151 = 1024420
  • 317 + 1024103 = 1024420

Showing the first eight; more decompositions exist.

Hex color
#0FA1A4
RGB(15, 161, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.161.164.

Address
0.15.161.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.161.164

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 4420 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4420-02-01 (DMMYYYY (Euro, single-digit day))
  • 4420-10-02 (MMDYYYY (US, single-digit day))
  • 4420-02-10 (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 1,024,420 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 1024420 first appears in π at position 636,831 of the decimal expansion (the 636,831ordinal-suffix:st 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°.