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13968136 = 2372132741
BaseRepresentation
bin110101010010…
…001100001000
3222021122200101
4311102030020
512033440021
61215215144
7226504300
oct65221410
928248611
1013968136
117980516
1248174b4
132b80a90
141bd8600
15135da91
hexd52308

13968136 has 48 divisors (see below), whose sum is σ = 32821740. Its totient is φ = 5523840.

The previous prime is 13968131. The next prime is 13968151. The reversal of 13968136 is 63186931.

It can be written as a sum of positive squares in 2 ways, for example, as 12744900 + 1223236 = 3570^2 + 1106^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13968095 and 13968104.

It is not an unprimeable number, because it can be changed into a prime (13968131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3726 + ... + 6466.

Almost surely, 213968136 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 13968136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16410870).

13968136 is an abundant number, since it is smaller than the sum of its proper divisors (18853604).

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

13968136 is a wasteful number, since it uses less digits than its factorization.

13968136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2763 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 13968136 is about 3737.3969551012. The cubic root of 13968136 is about 240.8312380603.

The spelling of 13968136 in words is "thirteen million, nine hundred sixty-eight thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 2741 5096 5482 10964 19187 21928 35633 38374 71266 76748 134309 142532 153496 249431 268618 285064 498862 537236 997724 1074472 1746017 1995448 3492034 6984068 13968136