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12975400 = 235264877
BaseRepresentation
bin110001011111…
…110100101000
3220102012220101
4301133310220
511310203100
61142035144
7215201104
oct61376450
926365811
1012975400
117362679
124418ab4
1328c3c69
141a1a904
15121486a
hexc5fd28

12975400 has 24 divisors (see below), whose sum is σ = 30168270. Its totient is φ = 5190080.

The previous prime is 12975377. The next prime is 12975401. The reversal of 12975400 is 457921.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12376324 + 599076 = 3518^2 + 774^2 .

It is a super-2 number, since 2×129754002 = 336722010320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12975401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32239 + ... + 32638.

Almost surely, 212975400 is an apocalyptic number.

12975400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12975400 is an abundant number, since it is smaller than the sum of its proper divisors (17192870).

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

12975400 is a wasteful number, since it uses less digits than its factorization.

12975400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64893 (or 64884 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 12975400 is about 3602.1382538709. The cubic root of 12975400 is about 234.9850601639.

The spelling of 12975400 in words is "twelve million, nine hundred seventy-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 64877 129754 259508 324385 519016 648770 1297540 1621925 2595080 3243850 6487700 12975400