Search a number
-
+
13372608 = 263172241
BaseRepresentation
bin110011000000…
…110011000000
3221011101202210
4303000303000
511410410413
61154342120
7221444124
oct63006300
927141683
1013372608
117604047
12458a940
132a029b2
141ac1584
1512923c3
hexcc0cc0

13372608 has 84 divisors (see below), whose sum is σ = 37741352. Its totient is φ = 4177920.

The previous prime is 13372607. The next prime is 13372609. The reversal of 13372608 is 80627331.

It is an interprime number because it is at equal distance from previous prime (13372607) and next prime (13372609).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13372607) 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, 55368 + ... + 55608.

Almost surely, 213372608 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 13372608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18870676).

13372608 is an abundant number, since it is smaller than the sum of its proper divisors (24368744).

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

13372608 is a wasteful number, since it uses less digits than its factorization.

13372608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 13372608 is about 3656.8576674517. The cubic root of 13372608 is about 237.3588183998.

Adding to 13372608 its reverse (80627331), we get a palindrome (93999939).

The spelling of 13372608 in words is "thirteen million, three hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 241 272 289 408 482 544 578 723 816 867 964 1088 1156 1446 1632 1734 1928 2312 2892 3264 3468 3856 4097 4624 5784 6936 7712 8194 9248 11568 12291 13872 15424 16388 18496 23136 24582 27744 32776 46272 49164 55488 65552 69649 98328 131104 139298 196656 208947 262208 278596 393312 417894 557192 786624 835788 1114384 1671576 2228768 3343152 4457536 6686304 13372608