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12825700 = 2252128257
BaseRepresentation
bin110000111011…
…010001100100
3220010121112221
4300323101210
511240410300
61134522124
7214005466
oct60732144
926117487
1012825700
117270158
124366344
132870a94
1419bc136
1511d531a
hexc3b464

12825700 has 18 divisors (see below), whose sum is σ = 27831986. Its totient is φ = 5130240.

The previous prime is 12825691. The next prime is 12825707. The reversal of 12825700 is 752821.

It can be written as a sum of positive squares in 3 ways, for example, as 3326976 + 9498724 = 1824^2 + 3082^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12825707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64029 + ... + 64228.

Almost surely, 212825700 is an apocalyptic number.

12825700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12825700 is an abundant number, since it is smaller than the sum of its proper divisors (15006286).

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

12825700 is a wasteful number, since it uses less digits than its factorization.

12825700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128271 (or 128264 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 12825700 is about 3581.2986471391. The cubic root of 12825700 is about 234.0778711779.

Subtracting from 12825700 its product of nonzero digits (1120), we obtain a triangular number (12824580 = T5064).

The spelling of 12825700 in words is "twelve million, eight hundred twenty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 128257 256514 513028 641285 1282570 2565140 3206425 6412850 12825700