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13412664 = 23321071741
BaseRepresentation
bin110011001010…
…100100111000
3221020102201100
4303022210320
511413201124
61155251400
7222001656
oct63124470
927212640
1013412664
117631151
1245a9b60
132a17cb5
141ad1dd6
15129e1c9
hexcca938

13412664 has 48 divisors (see below), whose sum is σ = 36686520. Its totient is φ = 4426560.

The previous prime is 13412629. The next prime is 13412671. The reversal of 13412664 is 46621431.

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6834 + ... + 8574.

Almost surely, 213412664 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 13412664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18343260).

13412664 is an abundant number, since it is smaller than the sum of its proper divisors (23273856).

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

13412664 is a wasteful number, since it uses less digits than its factorization.

13412664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1853 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13412664 is about 3662.3304056297. The cubic root of 13412664 is about 237.5955751990.

It can be divided in two parts, 1341 and 2664, that added together give a triangular number (4005 = T89).

The spelling of 13412664 in words is "thirteen million, four hundred twelve thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1741 1926 2568 3482 3852 5223 6964 7704 10446 13928 15669 20892 31338 41784 62676 125352 186287 372574 558861 745148 1117722 1490296 1676583 2235444 3353166 4470888 6706332 13412664