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1053481120 = 25514094673
BaseRepresentation
bin111110110010101…
…101100010100000
32201102022101102021
4332302231202200
54124142343440
6252311431224
735051304346
oct7662554240
92642271367
101053481120
114a0731a5a
12254985514
1313a343c13
149dcad996
156274784a
hex3ecad8a0

1053481120 has 48 divisors (see below), whose sum is σ = 2491148520. Its totient is φ = 421003264.

The previous prime is 1053481103. The next prime is 1053481141. The reversal of 1053481120 is 211843501.

1053481120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 802702224 + 250778896 = 28332^2 + 15836^2 .

It is a super-2 number, since 2×10534811202 = 2219644940392908800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223104 + ... + 227776.

Almost surely, 21053481120 is an apocalyptic number.

1053481120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053481120 is an abundant number, since it is smaller than the sum of its proper divisors (1437667400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1053481120 is a wasteful number, since it uses less digits than its factorization.

1053481120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6097 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1053481120 is about 32457.3738925379. The cubic root of 1053481120 is about 1017.5183551474.

The spelling of 1053481120 in words is "one billion, fifty-three million, four hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1409 2818 4673 5636 7045 9346 11272 14090 18692 22544 23365 28180 37384 45088 46730 56360 74768 93460 112720 149536 186920 225440 373840 747680 6584257 13168514 26337028 32921285 52674056 65842570 105348112 131685140 210696224 263370280 526740560 1053481120