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13378368 = 263591181
BaseRepresentation
bin110011000010…
…001101000000
3221011200200010
4303002031000
511411101433
61154424520
7221466663
oct63021500
927150603
1013378368
117608403
124592140
132a054c3
141ac36da
151293e63
hexcc2340

13378368 has 56 divisors (see below), whose sum is σ = 36027360. Its totient is φ = 4380160.

The previous prime is 13378357. The next prime is 13378369. The reversal of 13378368 is 86387331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13378369) 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, 10738 + ... + 11918.

Almost surely, 213378368 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 13378368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18013680).

13378368 is an abundant number, since it is smaller than the sum of its proper divisors (22648992).

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

13378368 is a wasteful number, since it uses less digits than its factorization.

13378368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1245 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 13378368 is about 3657.6451440784. The cubic root of 13378368 is about 237.3928927939.

The spelling of 13378368 in words is "thirteen million, three hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1181 1416 1888 2362 2832 3543 3776 4724 5664 7086 9448 11328 14172 18896 28344 37792 56688 69679 75584 113376 139358 209037 226752 278716 418074 557432 836148 1114864 1672296 2229728 3344592 4459456 6689184 13378368