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16113144 = 2331773541
BaseRepresentation
bin111101011101…
…110111111000
31010022122002010
4331131313320
513111110034
61333205520
7253650045
oct75356770
933278063
1016113144
119106053
1254908a0
133452208
1421d61cc
1516343e9
hexf5ddf8

16113144 has 64 divisors (see below), whose sum is σ = 43316640. Its totient is φ = 4976640.

The previous prime is 16113137. The next prime is 16113173. The reversal of 16113144 is 44131161.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16113144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29514 + ... + 30054.

Almost surely, 216113144 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 16113144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21658320).

16113144 is an abundant number, since it is smaller than the sum of its proper divisors (27203496).

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

16113144 is a wasteful number, since it uses less digits than its factorization.

16113144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 636 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 16113144 is about 4014.1180849596. The cubic root of 16113144 is about 252.5767841504.

The spelling of 16113144 in words is "sixteen million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 73 102 136 146 204 219 292 408 438 541 584 876 1082 1241 1623 1752 2164 2482 3246 3723 4328 4964 6492 7446 9197 9928 12984 14892 18394 27591 29784 36788 39493 55182 73576 78986 110364 118479 157972 220728 236958 315944 473916 671381 947832 1342762 2014143 2685524 4028286 5371048 8056572 16113144