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317519020 = 225721324923
BaseRepresentation
bin10010111011001…
…111010010101100
3211010110122012201
4102323033102230
51122241102040
651301311244
710603603300
oct2273172254
9733418181
10317519020
1115325a815
128a405524
1350a22ba0
1430253d00
151cd1ea9a
hex12ecf4ac

317519020 has 72 divisors (see below), whose sum is σ = 835352784. Its totient is φ = 100485504.

The previous prime is 317519017. The next prime is 317519021. The reversal of 317519020 is 20915713.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 317519020.

It is not an unprimeable number, because it can be changed into a prime (317519021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279 + ... + 25201.

It is an arithmetic number, because the mean of its divisors is an integer number (11602122).

Almost surely, 2317519020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317519020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417676392).

317519020 is an abundant number, since it is smaller than the sum of its proper divisors (517833764).

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

317519020 is a wasteful number, since it uses less digits than its factorization.

317519020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24959 (or 24950 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 317519020 is about 17819.0633872827. The cubic root of 317519020 is about 682.2181172124.

The spelling of 317519020 in words is "three hundred seventeen million, five hundred nineteen thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 24923 49846 99692 124615 174461 249230 323999 348922 498460 647998 697844 872305 1221227 1295996 1619995 1744610 2267993 2442454 3239990 3489220 4535986 4884908 6106135 6479980 9071972 11339965 12212270 15875951 22679930 24424540 31751902 45359860 63503804 79379755 158759510 317519020