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315215400 = 23352525359
BaseRepresentation
bin10010110010011…
…100111000101000
3210222010121020110
4102302130320220
51121143343100
651140054320
710545200223
oct2262347050
9728117213
10315215400
11151a26aa5
12896943a0
13503c74b6
142dc145ba
151ca17250
hex12c9ce28

315215400 has 48 divisors (see below), whose sum is σ = 977169600. Its totient is φ = 84057280.

The previous prime is 315215399. The next prime is 315215423. The reversal of 315215400 is 4512513.

315215400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 262080 + ... + 263279.

It is an arithmetic number, because the mean of its divisors is an integer number (20357700).

Almost surely, 2315215400 is an apocalyptic number.

315215400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315215400 is an abundant number, since it is smaller than the sum of its proper divisors (661954200).

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

315215400 is a wasteful number, since it uses less digits than its factorization.

315215400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525378 (or 525369 counting only the distinct ones).

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

The square root of 315215400 is about 17754.3065198278. The cubic root of 315215400 is about 680.5642663577.

Adding to 315215400 its reverse (4512513), we get a palindrome (319727913).

It can be divided in two parts, 315215 and 400, that added together give a triangular number (315615 = T794).

The spelling of 315215400 in words is "three hundred fifteen million, two hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 525359 1050718 1576077 2101436 2626795 3152154 4202872 5253590 6304308 7880385 10507180 12608616 13133975 15760770 21014360 26267950 31521540 39401925 52535900 63043080 78803850 105071800 157607700 315215400