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10165152 = 253195573
BaseRepresentation
bin100110110001…
…101110100000
3201010102222010
4212301232200
510100241102
61001512520
7152255004
oct46615640
921112863
1010165152
115813258
1234a2740
13214baaa
1414c8704
15d5bd6c
hex9b1ba0

10165152 has 48 divisors (see below), whose sum is σ = 28092960. Its totient is φ = 3209472.

The previous prime is 10165147. The next prime is 10165153. The reversal of 10165152 is 25156101.

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

It is not an unprimeable number, because it can be changed into a prime (10165153) 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, 963 + ... + 4610.

It is an arithmetic number, because the mean of its divisors is an integer number (585270).

Almost surely, 210165152 is an apocalyptic number.

10165152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10165152 is an abundant number, since it is smaller than the sum of its proper divisors (17927808).

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

10165152 is a wasteful number, since it uses less digits than its factorization.

10165152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 10165152 is about 3188.2835507527. The cubic root of 10165152 is about 216.6230297393.

The spelling of 10165152 in words is "ten million, one hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 5573 11146 16719 22292 33438 44584 66876 89168 105887 133752 178336 211774 267504 317661 423548 535008 635322 847096 1270644 1694192 2541288 3388384 5082576 10165152