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10536864 = 253138443
BaseRepresentation
bin101000001100…
…011110100000
3201211022212020
4220030132200
510144134424
61013501440
7155363502
oct50143640
921738766
1010536864
115a47558
123641880
13224c040
141583d72
15dd2079
hexa0c7a0

10536864 has 48 divisors (see below), whose sum is σ = 29790432. Its totient is φ = 3241728.

The previous prime is 10536859. The next prime is 10536871. The reversal of 10536864 is 46863501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105368642 = 222051005908992, 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, 2974 + ... + 5469.

It is an arithmetic number, because the mean of its divisors is an integer number (620634).

Almost surely, 210536864 is an apocalyptic number.

It is an amenable number.

10536864 is an abundant number, since it is smaller than the sum of its proper divisors (19253568).

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

10536864 is a wasteful number, since it uses less digits than its factorization.

10536864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8469 (or 8461 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 10536864 is about 3246.0536039936. The cubic root of 10536864 is about 219.2319221096.

The spelling of 10536864 in words is "ten million, five hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 8443 16886 25329 33772 50658 67544 101316 109759 135088 202632 219518 270176 329277 405264 439036 658554 810528 878072 1317108 1756144 2634216 3512288 5268432 10536864