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316812960 = 25325220009
BaseRepresentation
bin10010111000100…
…010111010100000
3211002010202200100
4102320202322200
51122101003320
651234222400
710564602642
oct2270427240
9732122610
10316812960
111529182a2
128a124a00
13508366b9
143010c892
151cc30790
hex12e22ea0

316812960 has 72 divisors (see below), whose sum is σ = 1081129140. Its totient is φ = 84483072.

The previous prime is 316812931. The next prime is 316812967. The reversal of 316812960 is 69218613.

It can be written as a sum of positive squares in 2 ways, for example, as 302342544 + 14470416 = 17388^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (316812967) 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, 108565 + ... + 111444.

Almost surely, 2316812960 is an apocalyptic number.

316812960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

316812960 is an abundant number, since it is smaller than the sum of its proper divisors (764316180).

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

316812960 is a wasteful number, since it uses less digits than its factorization.

316812960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220030 (or 220019 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 316812960 is about 17799.2404332320. The cubic root of 316812960 is about 681.7120641636.

The spelling of 316812960 in words is "three hundred sixteen million, eight hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 220009 440018 660027 880036 1100045 1320054 1760072 1980081 2200090 2640108 3300135 3520144 3960162 4400180 5280216 6600270 7040288 7920324 8800360 9900405 10560432 13200540 15840648 17600720 19800810 21120864 26401080 31681296 35201440 39601620 52802160 63362592 79203240 105604320 158406480 316812960