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10095904 = 257133467
BaseRepresentation
bin100110100000…
…110100100000
3200222220222101
4212200310200
510041032104
61000220144
7151546060
oct46406440
920886871
1010095904
115776225
12346a654
132126410
1414ab3a0
15d465a4
hex9a0d20

10095904 has 48 divisors (see below), whose sum is σ = 24470208. Its totient is φ = 3992832.

The previous prime is 10095889. The next prime is 10095937. The reversal of 10095904 is 40959001.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1179 + ... + 4645.

It is an arithmetic number, because the mean of its divisors is an integer number (509796).

Almost surely, 210095904 is an apocalyptic number.

10095904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10095904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12235104).

10095904 is an abundant number, since it is smaller than the sum of its proper divisors (14374304).

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

10095904 is a wasteful number, since it uses less digits than its factorization.

10095904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 10095904 is about 3177.4052306875. The cubic root of 10095904 is about 216.1300086102.

The spelling of 10095904 in words is "ten million, ninety-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 3467 6934 13868 24269 27736 45071 48538 55472 90142 97076 110944 180284 194152 315497 360568 388304 630994 721136 776608 1261988 1442272 2523976 5047952 10095904