Search a number
-
+
12610452 = 2231924171
BaseRepresentation
bin110000000110…
…101110010100
3212201200021210
4300012232110
511212013302
61130141420
7212121111
oct60065624
925650253
1012610452
117133468
124281870
1327c6b0a
141963908
15119166c
hexc06b94

12610452 has 72 divisors (see below), whose sum is σ = 32260032. Its totient is φ = 3830400.

The previous prime is 12610441. The next prime is 12610501. The reversal of 12610452 is 25401621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177577 + ... + 177647.

It is an arithmetic number, because the mean of its divisors is an integer number (448056).

Almost surely, 212610452 is an apocalyptic number.

12610452 is a gapful number since it is divisible by the number (12) 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 12610452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130016).

12610452 is an abundant number, since it is smaller than the sum of its proper divisors (19649580).

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

12610452 is a wasteful number, since it uses less digits than its factorization.

12610452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 12610452 is about 3551.1198233797. The cubic root of 12610452 is about 232.7610018401.

The spelling of 12610452 in words is "twelve million, six hundred ten thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 41 57 71 76 82 114 123 142 164 213 228 246 284 361 426 492 722 779 852 1083 1349 1444 1558 2166 2337 2698 2911 3116 4047 4332 4674 5396 5822 8094 8733 9348 11644 14801 16188 17466 25631 29602 34932 44403 51262 55309 59204 76893 88806 102524 110618 153786 165927 177612 221236 307572 331854 663708 1050871 2101742 3152613 4203484 6305226 12610452