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12315700 = 22521071151
BaseRepresentation
bin101110111110…
…110000110100
3212011200222001
4232332300310
511123100300
61115545044
7206452555
oct56766064
925150861
1012315700
116a51a71
12415b184
1327228c7
1418c832c
15113416a
hexbbec34

12315700 has 36 divisors (see below), whose sum is σ = 26998272. Its totient is φ = 4876000.

The previous prime is 12315679. The next prime is 12315707. The reversal of 12315700 is 751321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12315707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10125 + ... + 11275.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 212315700 is an apocalyptic number.

12315700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12315700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499136).

12315700 is an abundant number, since it is smaller than the sum of its proper divisors (14682572).

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

12315700 is a wasteful number, since it uses less digits than its factorization.

12315700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 12315700 is about 3509.3731634011. The cubic root of 12315700 is about 230.9331965771.

The spelling of 12315700 in words is "twelve million, three hundred fifteen thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 1151 2140 2302 2675 4604 5350 5755 10700 11510 23020 28775 57550 115100 123157 246314 492628 615785 1231570 2463140 3078925 6157850 12315700