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12312400 = 245230781
BaseRepresentation
bin101110111101…
…111101010000
3212011112102211
4232331331100
511122444100
61115521504
7206440132
oct56757520
925145384
1012312400
116a4a541
124159294
132721259
1418c7052
1511331ba
hexbbdf50

12312400 has 30 divisors (see below), whose sum is σ = 29581502. Its totient is φ = 4924800.

The previous prime is 12312397. The next prime is 12312401. The reversal of 12312400 is 421321.

It can be written as a sum of positive squares in 3 ways, for example, as 118336 + 12194064 = 344^2 + 3492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312401) 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, 14991 + ... + 15790.

Almost surely, 212312400 is an apocalyptic number.

12312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312400 is an abundant number, since it is smaller than the sum of its proper divisors (17269102).

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

12312400 is a wasteful number, since it uses less digits than its factorization.

12312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30799 (or 30788 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 12312400 is about 3508.9029624656. The cubic root of 12312400 is about 230.9125685000.

Adding to 12312400 its reverse (421321), we get a palindrome (12733721).

The spelling of 12312400 in words is "twelve million, three hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30781 61562 123124 153905 246248 307810 492496 615620 769525 1231240 1539050 2462480 3078100 6156200 12312400