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13356704 = 252937389
BaseRepresentation
bin110010111100…
…111010100000
3221010120221202
4302330322200
511404403304
61154140332
7221346554
oct62747240
927116852
1013356704
1175a30a9
1245816a8
1329c869a
141ab9864
15128c81e
hexcbcea0

13356704 has 48 divisors (see below), whose sum is σ = 28009800. Its totient is φ = 6257664.

The previous prime is 13356701. The next prime is 13356719. The reversal of 13356704 is 40765331.

13356704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12250000 + 1106704 = 3500^2 + 1052^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (13356701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34142 + ... + 34530.

Almost surely, 213356704 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 13356704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004900).

13356704 is an abundant number, since it is smaller than the sum of its proper divisors (14653096).

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

13356704 is a wasteful number, since it uses less digits than its factorization.

13356704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 13356704 is about 3654.6824759478. The cubic root of 13356704 is about 237.2646843772.

The spelling of 13356704 in words is "thirteen million, three hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 29 32 37 58 74 116 148 232 296 389 464 592 778 928 1073 1184 1556 2146 3112 4292 6224 8584 11281 12448 14393 17168 22562 28786 34336 45124 57572 90248 115144 180496 230288 360992 417397 460576 834794 1669588 3339176 6678352 13356704