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12605264 = 247241467
BaseRepresentation
bin110000000101…
…011101010000
3212201102011122
4300011131100
511211332024
61130101412
7212100020
oct60053520
925642148
1012605264
11712a581
12427a868
1327c4649
141961a80
15118ed5e
hexc05750

12605264 has 40 divisors (see below), whose sum is σ = 28087488. Its totient is φ = 5368320.

The previous prime is 12605261. The next prime is 12605273. The reversal of 12605264 is 46250621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12605261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26759 + ... + 27225.

Almost surely, 212605264 is an apocalyptic number.

12605264 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 12605264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14043744).

12605264 is an abundant number, since it is smaller than the sum of its proper divisors (15482224).

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

12605264 is a wasteful number, since it uses less digits than its factorization.

12605264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 12605264 is about 3550.3892744317. The cubic root of 12605264 is about 232.7290778003.

Adding to 12605264 its reverse (46250621), we get a palindrome (58855885).

The spelling of 12605264 in words is "twelve million, six hundred five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 241 467 482 934 964 1687 1868 1928 3269 3374 3736 3856 6538 6748 7472 13076 13496 26152 26992 52304 112547 225094 450188 787829 900376 1575658 1800752 3151316 6302632 12605264