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13384956 = 22313239359
BaseRepresentation
bin110011000011…
…110011111100
3221012000201010
4303003303330
511411304311
61154515220
7221525124
oct63036374
927160633
1013384956
117612352
124595b10
132a084c0
141ac5c84
151295da6
hexcc3cfc

13384956 has 48 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 4089792.

The previous prime is 13384937. The next prime is 13384993. The reversal of 13384956 is 65948331.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a congruent number.

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, 37105 + ... + 37463.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 213384956 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 13384956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

13384956 is an abundant number, since it is smaller than the sum of its proper divisors (20483844).

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

13384956 is a wasteful number, since it uses less digits than its factorization.

13384956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 616 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 13384956 is about 3658.5456126718. The cubic root of 13384956 is about 237.4318533939.

The spelling of 13384956 in words is "thirteen million, three hundred eighty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 239 359 478 717 718 956 1077 1434 1436 2154 2868 3107 4308 4667 6214 9321 9334 12428 14001 18642 18668 28002 37284 56004 85801 171602 257403 343204 514806 1029612 1115413 2230826 3346239 4461652 6692478 13384956