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316913760 = 253251012179
BaseRepresentation
bin10010111000111…
…011100001100000
3211002022212221200
4102320323201200
51122112220020
651240321200
710565502552
oct2270734140
9732285850
10316913760
11152986aa9
128a173200
1350870547
14301374d2
151cc50590
hex12e3b860

316913760 has 144 divisors (see below), whose sum is σ = 1092677040. Its totient is φ = 83635200.

The previous prime is 316913747. The next prime is 316913791. The reversal of 316913760 is 67319613.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 144351 + ... + 146529.

It is an arithmetic number, because the mean of its divisors is an integer number (7588035).

Almost surely, 2316913760 is an apocalyptic number.

316913760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316913760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546338520).

316913760 is an abundant number, since it is smaller than the sum of its proper divisors (775763280).

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

316913760 is a wasteful number, since it uses less digits than its factorization.

316913760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 316913760 is about 17802.0717895418. The cubic root of 316913760 is about 681.7843563340.

The spelling of 316913760 in words is "three hundred sixteen million, nine hundred thirteen thousand, seven 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 96 101 120 144 160 180 202 240 288 303 360 404 480 505 606 720 808 909 1010 1212 1440 1515 1616 1818 2020 2179 2424 3030 3232 3636 4040 4358 4545 4848 6060 6537 7272 8080 8716 9090 9696 10895 12120 13074 14544 16160 17432 18180 19611 21790 24240 26148 29088 32685 34864 36360 39222 43580 48480 52296 65370 69728 72720 78444 87160 98055 104592 130740 145440 156888 174320 196110 209184 220079 261480 313776 348640 392220 440158 522960 627552 660237 784440 880316 1045920 1100395 1320474 1568880 1760632 1980711 2200790 2640948 3137760 3301185 3521264 3961422 4401580 5281896 6602370 7042528 7922844 8803160 9903555 10563792 13204740 15845688 17606320 19807110 21127584 26409480 31691376 35212640 39614220 52818960 63382752 79228440 105637920 158456880 316913760