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10296864 = 253235753
BaseRepresentation
bin100111010001…
…111000100000
3201101010122100
4213101320200
510113444424
61004410400
7153344004
oct47217040
921333570
1010296864
1158a3206
123546a00
132196a26
141520704
15d85dc9
hex9d1e20

10296864 has 36 divisors (see below), whose sum is σ = 29282526. Its totient is φ = 3432192.

The previous prime is 10296859. The next prime is 10296877. The reversal of 10296864 is 46869201.

It can be written as a sum of positive squares in only one way, i.e., 6656400 + 3640464 = 2580^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17589 + ... + 18164.

Almost surely, 210296864 is an apocalyptic number.

It is an amenable number.

10296864 is an abundant number, since it is smaller than the sum of its proper divisors (18985662).

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

10296864 is a wasteful number, since it uses less digits than its factorization.

10296864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35769 (or 35758 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10296864 is about 3208.8726992512. The cubic root of 10296864 is about 217.5546275786.

The spelling of 10296864 in words is "ten million, two hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35753 71506 107259 143012 214518 286024 321777 429036 572048 643554 858072 1144096 1287108 1716144 2574216 3432288 5148432 10296864