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19947664 = 24111759113
BaseRepresentation
bin100110000011…
…0000010010000
31101112110001101
41030012002100
520101311124
61551314144
7331360312
oct114060220
941473041
1019947664
1110294a80
12681b954
134195669
1429137b2
151b40644
hex1306090

19947664 has 80 divisors (see below), whose sum is σ = 45800640. Its totient is φ = 8314880.

The previous prime is 19947643. The next prime is 19947703. The reversal of 19947664 is 46674991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176472 + ... + 176584.

It is an arithmetic number, because the mean of its divisors is an integer number (572508).

Almost surely, 219947664 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 19947664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900320).

19947664 is an abundant number, since it is smaller than the sum of its proper divisors (25852976).

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

19947664 is a wasteful number, since it uses less digits than its factorization.

19947664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its digits is 326592, while the sum is 46.

The square root of 19947664 is about 4466.2807793510. The cubic root of 19947664 is about 271.2047852319.

The spelling of 19947664 in words is "nineteen million, nine hundred forty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 59 68 88 113 118 136 176 187 226 236 272 374 452 472 649 748 904 944 1003 1243 1298 1496 1808 1921 2006 2486 2596 2992 3842 4012 4972 5192 6667 7684 8024 9944 10384 11033 13334 15368 16048 19888 21131 22066 26668 30736 42262 44132 53336 73337 84524 88264 106672 113339 146674 169048 176528 226678 293348 338096 453356 586696 906712 1173392 1246729 1813424 2493458 4986916 9973832 19947664