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313053020 = 225713916087
BaseRepresentation
bin10010101010001…
…100111101011100
3210211001202000022
4102222030331130
51120120144040
651021451312
710520623010
oct2252147534
9724052008
10313053020
1115078a405
1288a10b38
134cb1b197
142d810540
151c73b6b5
hex12a8cf5c

313053020 has 48 divisors (see below), whose sum is σ = 756779520. Its totient is φ = 106553664.

The previous prime is 313053007. The next prime is 313053031. The reversal of 313053020 is 20350313.

It is a super-2 number, since 2×3130530202 = 196004386662240800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313053020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11417 + ... + 27503.

It is an arithmetic number, because the mean of its divisors is an integer number (15766240).

Almost surely, 2313053020 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 313053020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378389760).

313053020 is an abundant number, since it is smaller than the sum of its proper divisors (443726500).

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

313053020 is a wasteful number, since it uses less digits than its factorization.

313053020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16242 (or 16240 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 313053020 is about 17693.3043832971. The cubic root of 313053020 is about 679.0044688428.

The spelling of 313053020 in words is "three hundred thirteen million, fifty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 278 556 695 973 1390 1946 2780 3892 4865 9730 16087 19460 32174 64348 80435 112609 160870 225218 321740 450436 563045 1126090 2236093 2252180 4472186 8944372 11180465 15652651 22360930 31305302 44721860 62610604 78263255 156526510 313053020