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13642408 = 2313472791
BaseRepresentation
bin110100000010…
…101010101000
3221200002212101
4310002222220
511443024113
61204223144
7223646533
oct64025250
927602771
1013642408
11777881a
12469aab4
132a98740
141b51a1a
1512e72dd
hexd02aa8

13642408 has 32 divisors (see below), whose sum is σ = 28143360. Its totient is φ = 6160320.

The previous prime is 13642357. The next prime is 13642423. The reversal of 13642408 is 80424631.

It is a super-2 number, since 2×136424082 = 372230592076928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3493 + ... + 6283.

It is an arithmetic number, because the mean of its divisors is an integer number (879480).

Almost surely, 213642408 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 13642408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14071680).

13642408 is an abundant number, since it is smaller than the sum of its proper divisors (14500952).

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

13642408 is a wasteful number, since it uses less digits than its factorization.

13642408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 13642408 is about 3693.5630494145. The cubic root of 13642408 is about 238.9444850431.

The spelling of 13642408 in words is "thirteen million, six hundred forty-two thousand, four hundred eight".

Divisors: 1 2 4 8 13 26 47 52 94 104 188 376 611 1222 2444 2791 4888 5582 11164 22328 36283 72566 131177 145132 262354 290264 524708 1049416 1705301 3410602 6821204 13642408