Search a number
-
+
13372688 = 247237461
BaseRepresentation
bin110011000000…
…110100010000
3221011101212202
4303000310100
511410411223
61154342332
7221444300
oct63006420
927141782
1013372688
11760410a
12458a9a8
132a02a44
141ac1600
151292428
hexcc0d10

13372688 has 60 divisors (see below), whose sum is σ = 31021452. Its totient is φ = 5564160.

The previous prime is 13372679. The next prime is 13372717. The reversal of 13372688 is 88627331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8479744 + 4892944 = 2912^2 + 2212^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28778 + ... + 29238.

Almost surely, 213372688 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 13372688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15510726).

13372688 is an abundant number, since it is smaller than the sum of its proper divisors (17648764).

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

13372688 is a wasteful number, since it uses less digits than its factorization.

13372688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 507 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 13372688 is about 3656.8686057883. The cubic root of 13372688 is about 237.3592917223.

The spelling of 13372688 in words is "thirteen million, three hundred seventy-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 392 461 518 592 784 922 1036 1813 1844 2072 3227 3626 3688 4144 6454 7252 7376 12908 14504 17057 22589 25816 29008 34114 45178 51632 68228 90356 119399 136456 180712 238798 272912 361424 477596 835793 955192 1671586 1910384 3343172 6686344 13372688