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13155408 = 2432731421
BaseRepresentation
bin110010001011…
…110001010000
3220202100211100
4302023301100
511331433113
61145544400
7216550650
oct62136120
926670740
1013155408
117475942
1244a5100
132957b86
141a66360
15124cd73
hexc8bc50

13155408 has 120 divisors (see below), whose sum is σ = 43536896. Its totient is φ = 3628800.

The previous prime is 13155397. The next prime is 13155421. The reversal of 13155408 is 80455131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31038 + ... + 31458.

Almost surely, 213155408 is an apocalyptic number.

13155408 is a gapful number since it is divisible by the number (18) 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 13155408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21768448).

13155408 is an abundant number, since it is smaller than the sum of its proper divisors (30381488).

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

13155408 is a wasteful number, since it uses less digits than its factorization.

13155408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 13155408 is about 3627.0384613345. The cubic root of 13155408 is about 236.0667244062.

The spelling of 13155408 in words is "thirteen million, one hundred fifty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 421 434 496 504 558 651 744 842 868 1008 1116 1263 1302 1488 1684 1736 1953 2232 2526 2604 2947 3368 3472 3789 3906 4464 5052 5208 5894 6736 7578 7812 8841 10104 10416 11788 13051 15156 15624 17682 20208 23576 26102 26523 30312 31248 35364 39153 47152 52204 53046 60624 70728 78306 91357 104408 106092 117459 141456 156612 182714 208816 212184 234918 274071 313224 365428 424368 469836 548142 626448 730856 822213 939672 1096284 1461712 1644426 1879344 2192568 3288852 4385136 6577704 13155408