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13357696 = 271153179
BaseRepresentation
bin110010111101…
…001010000000
3221010122022111
4302331022000
511404421241
61154145104
7221352502
oct62751200
927118274
1013357696
1175a3920
124582194
1329c8c81
141ab9d72
15128cc81
hexcbd280

13357696 has 64 divisors (see below), whose sum is σ = 29743200. Its totient is φ = 5923840.

The previous prime is 13357693. The next prime is 13357697. The reversal of 13357696 is 69675331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13357691) 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, 74535 + ... + 74713.

Almost surely, 213357696 is an apocalyptic number.

13357696 is a gapful number since it is divisible by the number (16) 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 13357696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871600).

13357696 is an abundant number, since it is smaller than the sum of its proper divisors (16385504).

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

13357696 is a wasteful number, since it uses less digits than its factorization.

13357696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its digits is 102060, while the sum is 40.

The square root of 13357696 is about 3654.8181897326. The cubic root of 13357696 is about 237.2705581002.

The spelling of 13357696 in words is "thirteen million, three hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 179 212 352 358 424 583 704 716 848 1166 1408 1432 1696 1969 2332 2864 3392 3938 4664 5728 6784 7876 9328 9487 11456 15752 18656 18974 22912 31504 37312 37948 63008 74624 75896 104357 126016 151792 208714 252032 303584 417428 607168 834856 1214336 1669712 3339424 6678848 13357696