Search a number
-
+
13506714 = 23213197293
BaseRepresentation
bin110011100001…
…100010011010
3221102012201200
4303201202122
511424203324
61201255030
7222543114
oct63414232
927365650
1013506714
117695881
124634476
132a4ba50
141b183b4
1512bbec9
hexce189a

13506714 has 48 divisors (see below), whose sum is σ = 31783752. Its totient is φ = 4120704.

The previous prime is 13506707. The next prime is 13506733. The reversal of 13506714 is 41760531.

It can be written as a sum of positive squares in 4 ways, for example, as 13505625 + 1089 = 3675^2 + 33^2 .

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 23 ways as a sum of consecutive naturals, for example, 45952 + ... + 46244.

Almost surely, 213506714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13506714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15891876).

13506714 is an abundant number, since it is smaller than the sum of its proper divisors (18277038).

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

13506714 is a wasteful number, since it uses less digits than its factorization.

13506714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13506714 is about 3675.1481602787. The cubic root of 13506714 is about 238.1496246261.

The spelling of 13506714 in words is "thirteen million, five hundred six thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 197 234 293 394 586 591 879 1182 1758 1773 2561 2637 3546 3809 5122 5274 7618 7683 11427 15366 22854 23049 34281 46098 57721 68562 115442 173163 346326 519489 750373 1038978 1500746 2251119 4502238 6753357 13506714