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13107744 = 253413389
BaseRepresentation
bin110010000000…
…001000100000
3220122221110000
4302000020200
511323421434
61144540000
7216261666
oct62001040
926587400
1013107744
117443051
124481600
13293c280
141a52c36
15123db99
hexc80220

13107744 has 120 divisors (see below), whose sum is σ = 41621580. Its totient is φ = 4022784.

The previous prime is 13107727. The next prime is 13107751. The reversal of 13107744 is 44770131.

It can be written as a sum of positive squares in 2 ways, for example, as 11696400 + 1411344 = 3420^2 + 1188^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33502 + ... + 33890.

Almost surely, 213107744 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 13107744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20810790).

13107744 is an abundant number, since it is smaller than the sum of its proper divisors (28513836).

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

13107744 is a wasteful number, since it uses less digits than its factorization.

13107744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 13107744 is about 3620.4618489911. The cubic root of 13107744 is about 235.7812777707.

Adding to 13107744 its reverse (44770131), we get a palindrome (57877875).

The spelling of 13107744 in words is "thirteen million, one hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 389 416 432 468 624 648 702 778 864 936 1053 1167 1248 1296 1404 1556 1872 2106 2334 2592 2808 3112 3501 3744 4212 4668 5057 5616 6224 7002 8424 9336 10114 10503 11232 12448 14004 15171 16848 18672 20228 21006 28008 30342 31509 33696 37344 40456 42012 45513 56016 60684 63018 80912 84024 91026 112032 121368 126036 136539 161824 168048 182052 242736 252072 273078 336096 364104 409617 485472 504144 546156 728208 819234 1008288 1092312 1456416 1638468 2184624 3276936 4369248 6553872 13107744