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13361712 = 24372131923
BaseRepresentation
bin110010111110…
…001000110000
3221010211211020
4302332020300
511410033322
61154215440
7221400300
oct62761060
927124736
1013361712
1175a6941
124584580
1329caa50
141abb600
15128e05c
hexcbe230

13361712 has 240 divisors, whose sum is σ = 47496960. Its totient is φ = 3193344.

The previous prime is 13361683. The next prime is 13361737. The reversal of 13361712 is 21716331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 580933 + ... + 580955.

It is an arithmetic number, because the mean of its divisors is an integer number (197904).

Almost surely, 213361712 is an apocalyptic number.

13361712 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 13361712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748480).

13361712 is an abundant number, since it is smaller than the sum of its proper divisors (34135248).

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

13361712 is a wasteful number, since it uses less digits than its factorization.

13361712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 13361712 is about 3655.3675601778. The cubic root of 13361712 is about 237.2943342336.

The spelling of 13361712 in words is "thirteen million, three hundred sixty-one thousand, seven hundred twelve".