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13918104 = 23321783137
BaseRepresentation
bin110101000101…
…111110011000
3222012010001100
4311011332120
512030334404
61214151400
7226205364
oct65057630
928163040
1013918104
117946972
1247b2560
132b64085
141bc42a4
15134dd39
hexd45f98

13918104 has 96 divisors (see below), whose sum is σ = 40687920. Its totient is φ = 4282368.

The previous prime is 13918067. The next prime is 13918109. The reversal of 13918104 is 40181931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13918109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 101524 + ... + 101660.

Almost surely, 213918104 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 13918104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20343960).

13918104 is an abundant number, since it is smaller than the sum of its proper divisors (26769816).

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

13918104 is a wasteful number, since it uses less digits than its factorization.

13918104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 13918104 is about 3730.6975219120. The cubic root of 13918104 is about 240.5433522730.

The spelling of 13918104 in words is "thirteen million, nine hundred eighteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 83 102 136 137 153 166 204 249 274 306 332 408 411 498 548 612 664 747 822 996 1096 1224 1233 1411 1494 1644 1992 2329 2466 2822 2988 3288 4233 4658 4932 5644 5976 6987 8466 9316 9864 11288 11371 12699 13974 16932 18632 20961 22742 25398 27948 33864 34113 41922 45484 50796 55896 68226 83844 90968 101592 102339 136452 167688 193307 204678 272904 386614 409356 579921 773228 818712 1159842 1546456 1739763 2319684 3479526 4639368 6959052 13918104