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12760128 = 263222153
BaseRepresentation
bin110000101011…
…010001000000
3220000021121100
4300223101000
511231311003
61133254400
7213313353
oct60532100
926007540
1012760128
117225967
124334400
132849c94
1419a229a
1511c0ba3
hexc2b440

12760128 has 42 divisors (see below), whose sum is σ = 36576254. Its totient is φ = 4253184.

The previous prime is 12760123. The next prime is 12760133. The reversal of 12760128 is 82106721.

It is an interprime number because it is at equal distance from previous prime (12760123) and next prime (12760133).

It can be written as a sum of positive squares in only one way, i.e., 7884864 + 4875264 = 2808^2 + 2208^2 .

It is not an unprimeable number, because it can be changed into a prime (12760123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10501 + ... + 11652.

Almost surely, 212760128 is an apocalyptic number.

12760128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12760128 is an abundant number, since it is smaller than the sum of its proper divisors (23816126).

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

12760128 is a wasteful number, since it uses less digits than its factorization.

12760128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22171 (or 22158 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12760128 is about 3572.1321364138. The cubic root of 12760128 is about 233.6782780138.

Adding to 12760128 its reverse (82106721), we get a palindrome (94866849).

The spelling of 12760128 in words is "twelve million, seven hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 22153 44306 66459 88612 132918 177224 199377 265836 354448 398754 531672 708896 797508 1063344 1417792 1595016 2126688 3190032 4253376 6380064 12760128