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315416680 = 23522813457
BaseRepresentation
bin10010110011001…
…110000001101000
3210222111211100021
4102303032001220
51121221313210
651144250224
710546666105
oct2263160150
9728454307
10315416680
11152054247
1289770974
1350467cb7
142dc67aac
151ca56bda
hex12cce068

315416680 has 32 divisors (see below), whose sum is σ = 710204040. Its totient is φ = 126074880.

The previous prime is 315416627. The next prime is 315416693. The reversal of 315416680 is 86614513.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 170406916 + 145009764 = 13054^2 + 12042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89512 + ... + 92968.

Almost surely, 2315416680 is an apocalyptic number.

It is an amenable number.

315416680 is an abundant number, since it is smaller than the sum of its proper divisors (394787360).

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

315416680 is a wasteful number, since it uses less digits than its factorization.

315416680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 315416680 is about 17759.9740990802. The cubic root of 315416680 is about 680.7090930688.

The spelling of 315416680 in words is "three hundred fifteen million, four hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 2281 3457 4562 6914 9124 11405 13828 17285 18248 22810 27656 34570 45620 69140 91240 138280 7885417 15770834 31541668 39427085 63083336 78854170 157708340 315416680