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1053257136 = 24343510299
BaseRepresentation
bin111110110001110…
…110110110110000
32201101220000011120
4332301312312300
54124113212021
6252302542240
735046352341
oct7661666660
92641800146
101053257136
114a0599748
12254897980
1313a295c99
149dc520c8
15627012c6
hex3ec76db0

1053257136 has 40 divisors (see below), whose sum is σ = 2784196800. Its totient is φ = 342920256.

The previous prime is 1053257131. The next prime is 1053257167. The reversal of 1053257136 is 6317523501.

It is a super-2 number, since 2×10532571362 = 2218701189069844992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053257097 and 1053257106.

It is not an unprimeable number, because it can be changed into a prime (1053257131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253086 + ... + 257213.

It is an arithmetic number, because the mean of its divisors is an integer number (69604920).

Almost surely, 21053257136 is an apocalyptic number.

1053257136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1053257136 is an abundant number, since it is smaller than the sum of its proper divisors (1730939664).

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

1053257136 is a wasteful number, since it uses less digits than its factorization.

1053257136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510353 (or 510347 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 1053257136 is about 32453.9232759308. The cubic root of 1053257136 is about 1017.4462374224.

The spelling of 1053257136 in words is "one billion, fifty-three million, two hundred fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 510299 1020598 1530897 2041196 3061794 4082392 6123588 8164784 12247176 21942857 24494352 43885714 65828571 87771428 131657142 175542856 263314284 351085712 526628568 1053257136