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315400520 = 23529271897
BaseRepresentation
bin10010110011001…
…010000101001000
3210222111000011202
4102303022011020
51121220304040
651144043332
710546601021
oct2263120510
9728430152
10315400520
11152043096
1289763548
1350460836
142dc61c48
151ca52015
hex12cca148

315400520 has 32 divisors (see below), whose sum is σ = 734124600. Its totient is φ = 121809408.

The previous prime is 315400493. The next prime is 315400529. The reversal of 315400520 is 25004513.

315400520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 149866564 + 165533956 = 12242^2 + 12866^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 315400492 and 315400501.

It is not an unprimeable number, because it can be changed into a prime (315400529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134789 + ... + 137108.

Almost surely, 2315400520 is an apocalyptic number.

It is an amenable number.

315400520 is an abundant number, since it is smaller than the sum of its proper divisors (418724080).

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

315400520 is a wasteful number, since it uses less digits than its factorization.

315400520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271937 (or 271933 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 315400520 is about 17759.5191376343. The cubic root of 315400520 is about 680.6974677622.

The spelling of 315400520 in words is "three hundred fifteen million, four hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 271897 543794 1087588 1359485 2175176 2718970 5437940 7885013 10875880 15770026 31540052 39425065 63080104 78850130 157700260 315400520