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13066464 = 2531311039
BaseRepresentation
bin110001110110…
…000011100000
3220120211211010
4301312003200
511321111324
61144020520
7216030435
oct61660340
926524733
1013066464
117415034
124461740
132926548
141a41b8c
151231829
hexc760e0

13066464 has 48 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 4318080.

The previous prime is 13066457. The next prime is 13066481. The reversal of 13066464 is 46466031.

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

It is a congruent number.

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, 12057 + ... + 13095.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 213066464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13066464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

13066464 is an abundant number, since it is smaller than the sum of its proper divisors (21528096).

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

13066464 is a wasteful number, since it uses less digits than its factorization.

13066464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 13066464 is about 3614.7564233292. The cubic root of 13066464 is about 235.5335034668.

It can be divided in two parts, 13066 and 464, that added together give a triangular number (13530 = T164).

The spelling of 13066464 in words is "thirteen million, sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1039 1048 1572 2078 2096 3117 3144 4156 4192 6234 6288 8312 12468 12576 16624 24936 33248 49872 99744 136109 272218 408327 544436 816654 1088872 1633308 2177744 3266616 4355488 6533232 13066464