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13108224 = 210317251
BaseRepresentation
bin110010000000…
…010000000000
3220122222002210
4302000100000
511323430344
61144542120
7216263253
oct62002000
926588083
1013108224
117443448
124481940
13293c55c
141a5309a
15123ddb9
hexc80400

13108224 has 88 divisors (see below), whose sum is σ = 37140768. Its totient is φ = 4096000.

The previous prime is 13108181. The next prime is 13108243. The reversal of 13108224 is 42280131.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13108224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52099 + ... + 52349.

Almost surely, 213108224 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 13108224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570384).

13108224 is an abundant number, since it is smaller than the sum of its proper divisors (24032544).

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

13108224 is a wasteful number, since it uses less digits than its factorization.

13108224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 13108224 is about 3620.5281382693. The cubic root of 13108224 is about 235.7841558056.

Adding to 13108224 its reverse (42280131), we get a palindrome (55388355).

The spelling of 13108224 in words is "thirteen million, one hundred eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 251 256 272 384 408 502 512 544 753 768 816 1004 1024 1088 1506 1536 1632 2008 2176 3012 3072 3264 4016 4267 4352 6024 6528 8032 8534 8704 12048 12801 13056 16064 17068 17408 24096 25602 26112 32128 34136 48192 51204 52224 64256 68272 96384 102408 128512 136544 192768 204816 257024 273088 385536 409632 546176 771072 819264 1092352 1638528 2184704 3277056 4369408 6554112 13108224