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12645136 = 24721272
BaseRepresentation
bin110000001111…
…001100010000
3212210102212101
4300033030100
511214121021
61131010144
7212324200
oct60171420
925712771
1012645136
117157529
124299954
13280983a
141972400
15119ba91
hexc0f310

12645136 has 45 divisors (see below), whose sum is σ = 28726119. Its totient is φ = 5376672.

The previous prime is 12645107. The next prime is 12645163. The reversal of 12645136 is 63154621.

The square root of 12645136 is 3556.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 99505 + ... + 99631.

Almost surely, 212645136 is an apocalyptic number.

12645136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12645136 is the 3556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12645136

12645136 is an abundant number, since it is smaller than the sum of its proper divisors (16080983).

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

12645136 is an equidigital number, since it uses as much as digits as its factorization.

12645136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 136 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The cubic root of 12645136 is about 232.9742030911.

Adding to 12645136 its reverse (63154621), we get a palindrome (75799757).

It can be divided in two parts, 1264 and 5136, that added together give a square (6400 = 802).

The spelling of 12645136 in words is "twelve million, six hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 127 196 254 392 508 784 889 1016 1778 2032 3556 6223 7112 12446 14224 16129 24892 32258 49784 64516 99568 112903 129032 225806 258064 451612 790321 903224 1580642 1806448 3161284 6322568 12645136