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13919664 = 2431141643
BaseRepresentation
bin110101000110…
…010110110000
3222012012012010
4311012112300
512030412124
61214202520
7226213053
oct65062660
928165163
1013919664
117948060
1247b3440
132b649b5
141bc4a9a
15134e529
hexd465b0

13919664 has 80 divisors (see below), whose sum is σ = 40247424. Its totient is φ = 4108800.

The previous prime is 13919663. The next prime is 13919683. The reversal of 13919664 is 46691931.

It is not an unprimeable number, because it can be changed into a prime (13919663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21327 + ... + 21969.

Almost surely, 213919664 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 13919664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20123712).

13919664 is an abundant number, since it is smaller than the sum of its proper divisors (26327760).

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

13919664 is a wasteful number, since it uses less digits than its factorization.

13919664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 700 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 13919664 is about 3730.9065922373. The cubic root of 13919664 is about 240.5523389762.

The spelling of 13919664 in words is "thirteen million, nine hundred nineteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 264 328 451 492 528 643 656 902 984 1286 1353 1804 1929 1968 2572 2706 3608 3858 5144 5412 7073 7216 7716 10288 10824 14146 15432 21219 21648 26363 28292 30864 42438 52726 56584 79089 84876 105452 113168 158178 169752 210904 289993 316356 339504 421808 579986 632712 869979 1159972 1265424 1739958 2319944 3479916 4639888 6959832 13919664