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13916664 = 2333193391
BaseRepresentation
bin110101000101…
…100111111000
3222012001002000
4311011213320
512030313124
61214141000
7226201236
oct65054770
928161060
1013916664
117945883
1247b1760
132b63518
141bc3956
15134d6c9
hexd459f8

13916664 has 64 divisors (see below), whose sum is σ = 40704000. Its totient is φ = 4393440.

The previous prime is 13916657. The next prime is 13916677. The reversal of 13916664 is 46661931.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2409 + ... + 5799.

It is an arithmetic number, because the mean of its divisors is an integer number (636000).

Almost surely, 213916664 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 13916664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20352000).

13916664 is an abundant number, since it is smaller than the sum of its proper divisors (26787336).

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

13916664 is a wasteful number, since it uses less digits than its factorization.

13916664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3415 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 13916664 is about 3730.5045235196. The cubic root of 13916664 is about 240.5350562586.

The spelling of 13916664 in words is "thirteen million, nine hundred sixteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 3391 4104 6782 10173 13564 20346 27128 30519 40692 61038 64429 81384 91557 122076 128858 183114 193287 244152 257716 366228 386574 515432 579861 732456 773148 1159722 1546296 1739583 2319444 3479166 4638888 6958332 13916664