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13385064 = 2337117243
BaseRepresentation
bin110011000011…
…110101101000
3221012000212010
4303003311220
511411310224
61154515520
7221525340
oct63036550
927160763
1013385064
117612440
124595ba0
132a08574
141ac5d20
151295e29
hexcc3d68

13385064 has 64 divisors (see below), whose sum is σ = 41725440. Its totient is φ = 3476160.

The previous prime is 13385041. The next prime is 13385081. The reversal of 13385064 is 46058331.

13385064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1774 + ... + 5469.

It is an arithmetic number, because the mean of its divisors is an integer number (651960).

Almost surely, 213385064 is an apocalyptic number.

13385064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13385064 is an abundant number, since it is smaller than the sum of its proper divisors (28340376).

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

13385064 is a wasteful number, since it uses less digits than its factorization.

13385064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7270 (or 7266 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 13385064 is about 3658.5603726056. The cubic root of 13385064 is about 237.4324919857.

The spelling of 13385064 in words is "thirteen million, three hundred eighty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 7243 14486 21729 28972 43458 50701 57944 79673 86916 101402 152103 159346 173832 202804 239019 304206 318692 405608 478038 557711 608412 637384 956076 1115422 1216824 1673133 1912152 2230844 3346266 4461688 6692532 13385064