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1,007,400

1,007,400 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.).

1,007,400 (one million seven thousand four hundred) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5² × 23 × 73. Its proper divisors sum to 2,295,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5F28.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
47,001
Recamán's sequence
a(350,651) = 1,007,400
Square (n²)
1,014,854,760,000
Cube (n³)
1,022,364,685,224,000,000
Divisor count
96
σ(n) — sum of divisors
3,303,360
φ(n) — Euler's totient
253,440
Sum of prime factors
115

Primality

Prime factorization: 2 3 × 3 × 5 2 × 23 × 73

Nearest primes: 1,007,387 (−13) · 1,007,401 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 23 · 24 · 25 · 30 · 40 · 46 · 50 · 60 · 69 · 73 · 75 · 92 · 100 · 115 · 120 · 138 · 146 · 150 · 184 · 200 · 219 · 230 · 276 · 292 · 300 · 345 · 365 · 438 · 460 · 552 · 575 · 584 · 600 · 690 · 730 · 876 · 920 · 1095 · 1150 · 1380 · 1460 · 1679 · 1725 · 1752 · 1825 · 2190 · 2300 · 2760 · 2920 · 3358 · 3450 · 3650 · 4380 · 4600 · 5037 · 5475 · 6716 · 6900 · 7300 · 8395 · 8760 · 10074 · 10950 · 13432 · 13800 · 14600 · 16790 · 20148 · 21900 · 25185 · 33580 · 40296 · 41975 · 43800 · 50370 · 67160 · 83950 · 100740 · 125925 · 167900 · 201480 · 251850 · 335800 · 503700 (half) · 1007400
Aliquot sum (sum of proper divisors): 2,295,960
Factor pairs (a × b = 1,007,400)
1 × 1007400
2 × 503700
3 × 335800
4 × 251850
5 × 201480
6 × 167900
8 × 125925
10 × 100740
12 × 83950
15 × 67160
20 × 50370
23 × 43800
24 × 41975
25 × 40296
30 × 33580
40 × 25185
46 × 21900
50 × 20148
60 × 16790
69 × 14600
73 × 13800
75 × 13432
92 × 10950
100 × 10074
115 × 8760
120 × 8395
138 × 7300
146 × 6900
150 × 6716
184 × 5475
200 × 5037
219 × 4600
230 × 4380
276 × 3650
292 × 3450
300 × 3358
345 × 2920
365 × 2760
438 × 2300
460 × 2190
552 × 1825
575 × 1752
584 × 1725
600 × 1679
690 × 1460
730 × 1380
876 × 1150
920 × 1095
First multiples
1,007,400 · 2,014,800 (double) · 3,022,200 · 4,029,600 · 5,037,000 · 6,044,400 · 7,051,800 · 8,059,200 · 9,066,600 · 10,074,000

Sums & aliquot sequence

As consecutive integers: 335,799 + 335,800 + 335,801 201,478 + 201,479 + 201,480 + 201,481 + 201,482 67,153 + 67,154 + … + 67,167 62,955 + 62,956 + … + 62,970
Aliquot sequence: 1,007,400 2,295,960 5,110,680 10,221,720 20,778,600 43,636,920 94,171,080 200,280,120 403,945,320 927,305,880 1,888,159,080 3,776,318,520 8,916,122,280 20,402,585,880 — keeps growing

Continued fraction of √n

√1,007,400 = [1003; (1, 2, 3, 1, 6, 80, 6, 1, 3, 2, 1, 2006)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one million seven thousand four hundred
Ordinal
1007400th
Binary
11110101111100101000
Octal
3657450
Hexadecimal
0xF5F28
Base64
D18o
One's complement
4,293,959,895 (32-bit)
Scientific notation
1.0074 × 10⁶
As a duration
1,007,400 s = 11 days, 15 hours, 50 minutes
In other bases
ternary (3) 1220011220010
quaternary (4) 3311330220
quinary (5) 224214100
senary (6) 33331520
septenary (7) 11364012
nonary (9) 1804803
undecimal (11) 628969
duodecimal (12) 406ba0
tridecimal (13) 2936c4
tetradecimal (14) 1c31b2
pentadecimal (15) 14d750

As an angle

1,007,400° = 2,798 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Chinese
一百萬七千四百
Chinese (financial)
壹佰萬柒仟肆佰
In other modern scripts
Eastern Arabic ١٠٠٧٤٠٠ Devanagari १००७४०० Bengali ১০০৭৪০০ Tamil ௧௦௦௭௪௦௦ Thai ๑๐๐๗๔๐๐ Tibetan ༡༠༠༧༤༠༠ Khmer ១០០៧៤០០ Lao ໑໐໐໗໔໐໐ Burmese ၁၀၀၇၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007400, here are decompositions:

  • 13 + 1007387 = 1007400
  • 19 + 1007381 = 1007400
  • 41 + 1007359 = 1007400
  • 47 + 1007353 = 1007400
  • 61 + 1007339 = 1007400
  • 83 + 1007317 = 1007400
  • 101 + 1007299 = 1007400
  • 103 + 1007297 = 1007400

Showing the first eight; more decompositions exist.

Hex color
#0F5F28
RGB(15, 95, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.95.40.

Address
0.15.95.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.95.40

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 1,007,400 and was likely granted around 1911.

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°.