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315104520 = 233517831861
BaseRepresentation
bin10010110010000…
…001110100001000
3210221220222010210
4102302001310020
51121131321040
651133441120
710544226033
oct2262016410
9727828123
10315104520
11151960765
12896401a0
1350388ba3
142dbc601a
151c9e4480
hex12c81d08

315104520 has 128 divisors (see below), whose sum is σ = 1013523840. Its totient is φ = 78090240.

The previous prime is 315104513. The next prime is 315104561. The reversal of 315104520 is 25401513.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168390 + ... + 170250.

It is an arithmetic number, because the mean of its divisors is an integer number (7918155).

Almost surely, 2315104520 is an apocalyptic number.

315104520 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 315104520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506761920).

315104520 is an abundant number, since it is smaller than the sum of its proper divisors (698419320).

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

315104520 is a wasteful number, since it uses less digits than its factorization.

315104520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 315104520 is about 17751.1836225081. The cubic root of 315104520 is about 680.4844586922.

The spelling of 315104520 in words is "three hundred fifteen million, one hundred four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 83 85 102 120 136 166 170 204 249 255 332 340 408 415 498 510 664 680 830 996 1020 1245 1411 1660 1861 1992 2040 2490 2822 3320 3722 4233 4980 5583 5644 7055 7444 8466 9305 9960 11166 11288 14110 14888 16932 18610 21165 22332 27915 28220 31637 33864 37220 42330 44664 55830 56440 63274 74440 84660 94911 111660 126548 154463 158185 169320 189822 223320 253096 308926 316370 379644 463389 474555 617852 632740 759288 772315 926778 949110 1235704 1265480 1544630 1853556 1898220 2316945 2625871 3089260 3707112 3796440 4633890 5251742 6178520 7877613 9267780 10503484 13129355 15755226 18535560 21006968 26258710 31510452 39388065 52517420 63020904 78776130 105034840 157552260 315104520