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13357960 = 2357114337
BaseRepresentation
bin110010111101…
…001110001000
3221010122200021
4302331032020
511404423320
61154150224
7221353330
oct62751610
927118607
1013357960
1175a4040
124582374
1329c9125
141aba0c0
15128cdaa
hexcbd388

13357960 has 64 divisors (see below), whose sum is σ = 37480320. Its totient is φ = 4162560.

The previous prime is 13357889. The next prime is 13357973. The reversal of 13357960 is 6975331.

13357960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 912 + ... + 5248.

It is an arithmetic number, because the mean of its divisors is an integer number (585630).

Almost surely, 213357960 is an apocalyptic number.

13357960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13357960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18740160).

13357960 is an abundant number, since it is smaller than the sum of its proper divisors (24122360).

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

13357960 is a wasteful number, since it uses less digits than its factorization.

13357960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 34.

The square root of 13357960 is about 3654.8543062617. The cubic root of 13357960 is about 237.2721212195.

The spelling of 13357960 in words is "thirteen million, three hundred fifty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 4337 8674 17348 21685 30359 34696 43370 47707 60718 86740 95414 121436 151795 173480 190828 238535 242872 303590 333949 381656 477070 607180 667898 954140 1214360 1335796 1669745 1908280 2671592 3339490 6678980 13357960