number.wiki
Live analysis

1,015,440

1,015,440 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.).

1,015,440 (one million fifteen thousand four hundred forty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 4,231. Its proper divisors sum to 2,133,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7E90.

Abundant Number Evil Number Gapful Number Harshad / Niven Recamán's Sequence Refactorable 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
445,101
Recamán's sequence
a(363,987) = 1,015,440
Square (n²)
1,031,118,393,600
Cube (n³)
1,047,038,861,597,184,000
Divisor count
40
σ(n) — sum of divisors
3,148,608
φ(n) — Euler's totient
270,720
Sum of prime factors
4,247

Primality

Prime factorization: 2 4 × 3 × 5 × 4231

Nearest primes: 1,015,433 (−7) · 1,015,451 (+11)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 4231 · 8462 · 12693 · 16924 · 21155 · 25386 · 33848 · 42310 · 50772 · 63465 · 67696 · 84620 · 101544 · 126930 · 169240 · 203088 · 253860 · 338480 · 507720 (half) · 1015440
Aliquot sum (sum of proper divisors): 2,133,168
Factor pairs (a × b = 1,015,440)
1 × 1015440
2 × 507720
3 × 338480
4 × 253860
5 × 203088
6 × 169240
8 × 126930
10 × 101544
12 × 84620
15 × 67696
16 × 63465
20 × 50772
24 × 42310
30 × 33848
40 × 25386
48 × 21155
60 × 16924
80 × 12693
120 × 8462
240 × 4231
First multiples
1,015,440 · 2,030,880 (double) · 3,046,320 · 4,061,760 · 5,077,200 · 6,092,640 · 7,108,080 · 8,123,520 · 9,138,960 · 10,154,400

Sums & aliquot sequence

As consecutive integers: 338,479 + 338,480 + 338,481 203,086 + 203,087 + 203,088 + 203,089 + 203,090 67,689 + 67,690 + … + 67,703 31,717 + 31,718 + … + 31,748
Aliquot sequence: 1,015,440 2,133,168 3,670,032 5,890,864 7,277,936 7,436,896 7,274,864 6,820,216 6,951,584 6,866,836 5,319,884 3,989,920 6,297,728 6,248,782 3,377,834 1,688,920 2,111,240 — unresolved within range

Continued fraction of √n

√1,015,440 = [1007; (1, 2, 4, 2, 1, 11, 4, 3, 1, 7, 9, 4, 12, 2, 3, 5, 1, 1, 1, 3, 1, 1, 5, 2, …)]

Representations

In words
one million fifteen thousand four hundred forty
Ordinal
1015440th
Binary
11110111111010010000
Octal
3677220
Hexadecimal
0xF7E90
Base64
D36Q
One's complement
4,293,951,855 (32-bit)
Scientific notation
1.01544 × 10⁶
As a duration
1,015,440 s = 11 days, 18 hours, 4 minutes
In other bases
ternary (3) 1220120220220
quaternary (4) 3313322100
quinary (5) 224443230
senary (6) 33433040
septenary (7) 11426316
nonary (9) 1816826
undecimal (11) 633a08
duodecimal (12) 40b780
tridecimal (13) 29726a
tetradecimal (14) 1c60b6
pentadecimal (15) 150d10

As an angle

1,015,440° = 2,820 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零一萬五千四百四十
Chinese (financial)
壹佰零壹萬伍仟肆佰肆拾
In other modern scripts
Eastern Arabic ١٠١٥٤٤٠ Devanagari १०१५४४० Bengali ১০১৫৪৪০ Tamil ௧௦௧௫௪௪௦ Thai ๑๐๑๕๔๔๐ Tibetan ༡༠༡༥༤༤༠ Khmer ១០១៥៤៤០ Lao ໑໐໑໕໔໔໐ Burmese ၁၀၁၅၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1015440, here are decompositions:

  • 7 + 1015433 = 1015440
  • 17 + 1015423 = 1015440
  • 31 + 1015409 = 1015440
  • 37 + 1015403 = 1015440
  • 71 + 1015369 = 1015440
  • 73 + 1015367 = 1015440
  • 79 + 1015361 = 1015440
  • 131 + 1015309 = 1015440

Showing the first eight; more decompositions exist.

Hex color
#0F7E90
RGB(15, 126, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.126.144.

Address
0.15.126.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.126.144

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 5440 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 5440-10-01 (MMDYYYY (US, single-digit day))
  • 5440-01-10 (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 1,015,440 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°.