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13152096 = 253245667
BaseRepresentation
bin110010001010…
…111101100000
3220202012021200
4302022331200
511331331341
61145521200
7216535206
oct62127540
926665250
1013152096
117473401
1244a3200
132956509
141a65076
15124bdb6
hexc8af60

13152096 has 36 divisors (see below), whose sum is σ = 37402092. Its totient is φ = 4383936.

The previous prime is 13152089. The next prime is 13152127. The reversal of 13152096 is 69025131.

13152096 is a `hidden beast` number, since 131 + 520 + 9 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 22546 + ... + 23121.

It is an arithmetic number, because the mean of its divisors is an integer number (1038947).

Almost surely, 213152096 is an apocalyptic number.

13152096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13152096 is an abundant number, since it is smaller than the sum of its proper divisors (24249996).

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

13152096 is a wasteful number, since it uses less digits than its factorization.

13152096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45683 (or 45672 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 13152096 is about 3626.5818617536. The cubic root of 13152096 is about 236.0469120570.

The spelling of 13152096 in words is "thirteen million, one hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 45667 91334 137001 182668 274002 365336 411003 548004 730672 822006 1096008 1461344 1644012 2192016 3288024 4384032 6576048 13152096