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10857264 = 2431120563
BaseRepresentation
bin101001011010…
…101100110000
3202102121100220
4221122230300
510234413024
61024413040
7161166555
oct51325460
922377326
1010857264
116146250
123777180
132331b22
141628a2c
15e46e79
hexa5ab30

10857264 has 40 divisors (see below), whose sum is σ = 30599232. Its totient is φ = 3289920.

The previous prime is 10857263. The next prime is 10857289. The reversal of 10857264 is 46275801.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10857263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9754 + ... + 10809.

Almost surely, 210857264 is an apocalyptic number.

It is an amenable number.

10857264 is an abundant number, since it is smaller than the sum of its proper divisors (19741968).

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

10857264 is a wasteful number, since it uses less digits than its factorization.

10857264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20585 (or 20579 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 10857264 is about 3295.0362668717. The cubic root of 10857264 is about 221.4318725438.

The spelling of 10857264 in words is "ten million, eight hundred fifty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 20563 41126 61689 82252 123378 164504 226193 246756 329008 452386 493512 678579 904772 987024 1357158 1809544 2714316 3619088 5428632 10857264