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13371696 = 2433132381
BaseRepresentation
bin110011000000…
…100100110000
3221011100112000
4303000210300
511410343241
61154334000
7221441352
oct63004460
927140460
1013371696
117603398
12458a300
132a02460
141ac10d2
151291eb6
hexcc0930

13371696 has 80 divisors (see below), whose sum is σ = 41351520. Its totient is φ = 4112640.

The previous prime is 13371691. The next prime is 13371731. The reversal of 13371696 is 69617331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13371696.

It is not an unprimeable number, because it can be changed into a prime (13371691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4426 + ... + 6806.

It is an arithmetic number, because the mean of its divisors is an integer number (516894).

Almost surely, 213371696 is an apocalyptic number.

13371696 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 13371696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20675760).

13371696 is an abundant number, since it is smaller than the sum of its proper divisors (27979824).

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

13371696 is a wasteful number, since it uses less digits than its factorization.

13371696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2399 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 13371696 is about 3656.7329681014. The cubic root of 13371696 is about 237.3534223902.

The spelling of 13371696 in words is "thirteen million, three hundred seventy-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2381 2808 4762 5616 7143 9524 14286 19048 21429 28572 30953 38096 42858 57144 61906 64287 85716 92859 114288 123812 128574 171432 185718 247624 257148 278577 342864 371436 495248 514296 557154 742872 835731 1028592 1114308 1485744 1671462 2228616 3342924 4457232 6685848 13371696