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13306104 = 23327171553
BaseRepresentation
bin110010110000…
…100011111000
3221001000112200
4302300203320
511401243404
61153110200
7221046210
oct62604370
927030480
1013306104
117569089
124558360
1329ab646
141aa5240
15127c839
hexcb08f8

13306104 has 96 divisors (see below), whose sum is σ = 43636320. Its totient is φ = 3575808.

The previous prime is 13306103. The next prime is 13306129. The reversal of 13306104 is 40160331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13306103) 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 23 ways as a sum of consecutive naturals, for example, 7792 + ... + 9344.

It is an arithmetic number, because the mean of its divisors is an integer number (454545).

Almost surely, 213306104 is an apocalyptic number.

13306104 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 13306104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21818160).

13306104 is an abundant number, since it is smaller than the sum of its proper divisors (30330216).

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

13306104 is a wasteful number, since it uses less digits than its factorization.

13306104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13306104 is about 3647.7532811307. The cubic root of 13306104 is about 236.9646905683.

Adding to 13306104 its reverse (40160331), we get a palindrome (53466435).

The spelling of 13306104 in words is "thirteen million, three hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 1553 2142 2856 3106 4284 4659 6212 8568 9318 10871 12424 13977 18636 21742 26401 27954 32613 37272 43484 52802 55908 65226 79203 86968 97839 105604 111816 130452 158406 184807 195678 211208 237609 260904 316812 369614 391356 475218 554421 633624 739228 782712 950436 1108842 1478456 1663263 1900872 2217684 3326526 4435368 6653052 13306104