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13556064 = 253141209
BaseRepresentation
bin110011101101…
…100101100000
3221111201102110
4303231211200
511432243224
61202315320
7223140024
oct63554540
927451373
1013556064
117719965
124658b40
132a68352
141b2c384
1512cb929
hexced960

13556064 has 24 divisors (see below), whose sum is σ = 35584920. Its totient is φ = 4518656.

The previous prime is 13556057. The next prime is 13556071. The reversal of 13556064 is 46065531.

13556064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13556057) and next prime (13556071).

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70509 + ... + 70700.

It is an arithmetic number, because the mean of its divisors is an integer number (1482705).

Almost surely, 213556064 is an apocalyptic number.

It is an amenable number.

13556064 is an abundant number, since it is smaller than the sum of its proper divisors (22028856).

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

13556064 is a wasteful number, since it uses less digits than its factorization.

13556064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141222 (or 141214 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 13556064 is about 3681.8560536773. The cubic root of 13556064 is about 238.4393175698.

The spelling of 13556064 in words is "thirteen million, five hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 141209 282418 423627 564836 847254 1129672 1694508 2259344 3389016 4518688 6778032 13556064