Search a number
-
+
316246560 = 2535794121
BaseRepresentation
bin10010110110011…
…000101000100000
3211001001222201120
4102312120220200
51121424342220
651214132240
710560023430
oct2266305040
9731058646
10316246560
111525707a3
1289ab1080
1350698956
14300022c0
151cb6ca40
hex12d98a20

316246560 has 96 divisors (see below), whose sum is σ = 1138499712. Its totient is φ = 72284160.

The previous prime is 316246543. The next prime is 316246561. The reversal of 316246560 is 65642613.

316246560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (316246561) 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 15 ways as a sum of consecutive naturals, for example, 43701 + ... + 50420.

It is an arithmetic number, because the mean of its divisors is an integer number (11859372).

Almost surely, 2316246560 is an apocalyptic number.

316246560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

316246560 is an abundant number, since it is smaller than the sum of its proper divisors (822253152).

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

316246560 is a wasteful number, since it uses less digits than its factorization.

316246560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94146 (or 94138 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 316246560 is about 17783.3225242079. The cubic root of 316246560 is about 681.3055655937.

The spelling of 316246560 in words is "three hundred sixteen million, two hundred forty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 94121 188242 282363 376484 470605 564726 658847 752968 941210 1129452 1317694 1411815 1505936 1882420 1976541 2258904 2635388 2823630 3011872 3294235 3764840 3953082 4517808 5270776 5647260 6588470 7529680 7906164 9035616 9882705 10541552 11294520 13176940 15059360 15812328 19765410 21083104 22589040 26353880 31624656 39530820 45178080 52707760 63249312 79061640 105415520 158123280 316246560