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13407912 = 2332737719
BaseRepresentation
bin110011001001…
…011010101000
3221020012012100
4303021122220
511413023122
61155213400
7221652060
oct63113250
927205170
1013407912
117628621
1245a7260
132a15a9b
141ad03a0
15129caac
hexcc96a8

13407912 has 96 divisors (see below), whose sum is σ = 42681600. Its totient is φ = 3722112.

The previous prime is 13407907. The next prime is 13407913. The reversal of 13407912 is 21970431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13407913) 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, 18289 + ... + 19007.

It is an arithmetic number, because the mean of its divisors is an integer number (444600).

Almost surely, 213407912 is an apocalyptic number.

13407912 is a gapful number since it is divisible by the number (12) 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 13407912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21340800).

13407912 is an abundant number, since it is smaller than the sum of its proper divisors (29273688).

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

13407912 is a wasteful number, since it uses less digits than its factorization.

13407912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13407912 is about 3661.6815809133. The cubic root of 13407912 is about 237.5675124782.

The spelling of 13407912 in words is "thirteen million, four hundred seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 74 84 111 126 148 168 222 252 259 296 333 444 504 518 666 719 777 888 1036 1332 1438 1554 2072 2157 2331 2664 2876 3108 4314 4662 5033 5752 6216 6471 8628 9324 10066 12942 15099 17256 18648 20132 25884 26603 30198 40264 45297 51768 53206 60396 79809 90594 106412 120792 159618 181188 186221 212824 239427 319236 362376 372442 478854 558663 638472 744884 957708 1117326 1489768 1675989 1915416 2234652 3351978 4469304 6703956 13407912