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13684392 = 2332316131
BaseRepresentation
bin110100001100…
…111010101000
3221202020110100
4310030322220
512000400032
61205145400
7224213121
oct64147250
927666410
1013684392
1177a7317
1246bb260
132ab1897
141b63048
15130497c
hexd0cea8

13684392 has 48 divisors (see below), whose sum is σ = 38263680. Its totient is φ = 4413600.

The previous prime is 13684387. The next prime is 13684393. The reversal of 13684392 is 29348631.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (13684393) 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 11 ways as a sum of consecutive naturals, for example, 834 + ... + 5297.

It is an arithmetic number, because the mean of its divisors is an integer number (797160).

Almost surely, 213684392 is an apocalyptic number.

13684392 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 13684392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131840).

13684392 is an abundant number, since it is smaller than the sum of its proper divisors (24579288).

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

13684392 is a wasteful number, since it uses less digits than its factorization.

13684392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174 (or 6167 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13684392 is about 3699.2420845357. The cubic root of 13684392 is about 239.1893482653.

The spelling of 13684392 in words is "thirteen million, six hundred eighty-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 6131 12262 18393 24524 36786 49048 55179 73572 110358 147144 190061 220716 380122 441432 570183 760244 1140366 1520488 1710549 2280732 3421098 4561464 6842196 13684392