Search a number
-
+
13368704 = 271923239
BaseRepresentation
bin110010111111…
…110110000000
3221011012102012
4302333312000
511410244304
61154312052
7221426546
oct62776600
927135365
1013368704
117601118
124588628
132a00c9b
141abdd96
15129116e
hexcbfd80

13368704 has 64 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 6031872.

The previous prime is 13368703. The next prime is 13368713. The reversal of 13368704 is 40786331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13368703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55817 + ... + 56055.

It is an arithmetic number, because the mean of its divisors is an integer number (459000).

Almost surely, 213368704 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 13368704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688000).

13368704 is an abundant number, since it is smaller than the sum of its proper divisors (16007296).

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

13368704 is a wasteful number, since it uses less digits than its factorization.

13368704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 13368704 is about 3656.3238368613. The cubic root of 13368704 is about 237.3357179690.

The spelling of 13368704 in words is "thirteen million, three hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 239 304 368 437 478 608 736 874 956 1216 1472 1748 1912 2432 2944 3496 3824 4541 5497 6992 7648 9082 10994 13984 15296 18164 21988 27968 30592 36328 43976 55936 72656 87952 104443 145312 175904 208886 290624 351808 417772 581248 703616 835544 1671088 3342176 6684352 13368704