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13516104 = 2337431871
BaseRepresentation
bin110011100011…
…110101001000
3221102200121110
4303203311020
511430003404
61201410320
7222612360
oct63436510
927380543
1013516104
1176a1938
1246399a0
132a530c4
141b1b9a0
1512beb89
hexce3d48

13516104 has 64 divisors (see below), whose sum is σ = 39536640. Its totient is φ = 3769920.

The previous prime is 13516103. The next prime is 13516127. The reversal of 13516104 is 40161531.

13516104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13516103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6289 + ... + 8159.

It is an arithmetic number, because the mean of its divisors is an integer number (617760).

Almost surely, 213516104 is an apocalyptic number.

13516104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13516104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768320).

13516104 is an abundant number, since it is smaller than the sum of its proper divisors (26020536).

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

13516104 is a wasteful number, since it uses less digits than its factorization.

13516104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 13516104 is about 3676.4254378404. The cubic root of 13516104 is about 238.2047998266.

Adding to 13516104 its reverse (40161531), we get a palindrome (53677635).

The spelling of 13516104 in words is "thirteen million, five hundred sixteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 1871 2408 3612 3742 5613 7224 7484 11226 13097 14968 22452 26194 39291 44904 52388 78582 80453 104776 157164 160906 241359 314328 321812 482718 563171 643624 965436 1126342 1689513 1930872 2252684 3379026 4505368 6758052 13516104