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10095264 = 253235053
BaseRepresentation
bin100110100000…
…101010100000
3200222220002200
4212200222200
510041022024
61000213200
7151544154
oct46405240
920886080
1010095264
1157757a3
12346a200
13212603a
1414ab064
15d462c9
hex9a0aa0

10095264 has 36 divisors (see below), whose sum is σ = 28709226. Its totient is φ = 3364992.

The previous prime is 10095259. The next prime is 10095287. The reversal of 10095264 is 46259001.

It can be written as a sum of positive squares in only one way, i.e., 9659664 + 435600 = 3108^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (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, 17239 + ... + 17814.

Almost surely, 210095264 is an apocalyptic number.

It is an amenable number.

10095264 is an abundant number, since it is smaller than the sum of its proper divisors (18613962).

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

10095264 is a wasteful number, since it uses less digits than its factorization.

10095264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35069 (or 35058 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10095264 is about 3177.3045179838. The cubic root of 10095264 is about 216.1254415393.

The spelling of 10095264 in words is "ten million, ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35053 70106 105159 140212 210318 280424 315477 420636 560848 630954 841272 1121696 1261908 1682544 2523816 3365088 5047632 10095264