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12610052 = 227413101
BaseRepresentation
bin110000000110…
…101000000100
3212201122201222
4300012220010
511212010202
61130135512
7212120000
oct60065004
925648658
1012610052
117133134
124281598
1327c6890
141963700
1511914a2
hexc06a04

12610052 has 60 divisors (see below), whose sum is σ = 27998796. Its totient is φ = 4939200.

The previous prime is 12610043. The next prime is 12610069. The reversal of 12610052 is 25001621.

It can be written as a sum of positive squares in 2 ways, for example, as 7529536 + 5080516 = 2744^2 + 2254^2 .

It is a super-2 number, since 2×126100522 = 318026822885408, 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 12610052.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 124802 + ... + 124902.

Almost surely, 212610052 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 12610052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999398).

12610052 is an abundant number, since it is smaller than the sum of its proper divisors (15388744).

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

12610052 is a wasteful number, since it uses less digits than its factorization.

12610052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 12610052 is about 3551.0635026707. The cubic root of 12610052 is about 232.7585407762.

Adding to 12610052 its reverse (25001621), we get a palindrome (37611673).

The spelling of 12610052 in words is "twelve million, six hundred ten thousand, fifty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 101 182 196 202 343 364 404 637 686 707 1274 1313 1372 1414 2401 2548 2626 2828 4459 4802 4949 5252 8918 9191 9604 9898 17836 18382 19796 31213 34643 36764 62426 64337 69286 124852 128674 138572 242501 257348 450359 485002 900718 970004 1801436 3152513 6305026 12610052