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315212520 = 23357375253
BaseRepresentation
bin10010110010011…
…100001011101000
3210222010110021210
4102302130023220
51121143300040
651140033120
710545155640
oct2262341350
9728113253
10315212520
11151a24917
12896927a0
13503c60ac
142dc13520
151ca16480
hex12c9c2e8

315212520 has 64 divisors (see below), whose sum is σ = 1080731520. Its totient is φ = 72048384.

The previous prime is 315212519. The next prime is 315212537. The reversal of 315212520 is 25212513.

315212520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 186787 + ... + 188466.

It is an arithmetic number, because the mean of its divisors is an integer number (16886430).

Almost surely, 2315212520 is an apocalyptic number.

315212520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315212520 is an abundant number, since it is smaller than the sum of its proper divisors (765519000).

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

315212520 is a wasteful number, since it uses less digits than its factorization.

315212520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375274 (or 375270 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 315212520 is about 17754.2254125602. The cubic root of 315212520 is about 680.5621936681.

The spelling of 315212520 in words is "three hundred fifteen million, two hundred twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 375253 750506 1125759 1501012 1876265 2251518 2626771 3002024 3752530 4503036 5253542 5628795 7505060 7880313 9006072 10507084 11257590 13133855 15010120 15760626 21014168 22515180 26267710 31521252 39401565 45030360 52535420 63042504 78803130 105070840 157606260 315212520