Search a number
-
+
10656464 = 247132563
BaseRepresentation
bin101000101001…
…101011010000
3202001101220212
4220221223100
510212001324
61020223252
7156402260
oct50515320
922041825
1010656464
1160193a5
12369ab28
132291600
1415b57a0
15e0770e
hexa29ad0

10656464 has 60 divisors (see below), whose sum is σ = 25596576. Its totient is φ = 4208256.

The previous prime is 10656449. The next prime is 10656469. The reversal of 10656464 is 46465601.

10656464 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×106564642 = 227120449966592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10656464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10656469) 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, 18647 + ... + 19209.

Almost surely, 210656464 is an apocalyptic number.

10656464 is a gapful number since it is divisible by the number (14) 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 10656464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12798288).

10656464 is an abundant number, since it is smaller than the sum of its proper divisors (14940112).

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

10656464 is a wasteful number, since it uses less digits than its factorization.

10656464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 10656464 is about 3264.4239920697. The cubic root of 10656464 is about 220.0582765726.

The spelling of 10656464 in words is "ten million, six hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 563 676 728 1126 1183 1352 1456 2252 2366 2704 3941 4504 4732 7319 7882 9008 9464 14638 15764 18928 29276 31528 51233 58552 63056 95147 102466 117104 190294 204932 380588 409864 666029 761176 819728 1332058 1522352 2664116 5328232 10656464