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316416520 = 23572237019
BaseRepresentation
bin10010110111000…
…010001000001000
3211001101121212101
4102313002020020
51122000312040
651221523144
710561332100
oct2267021010
9731347771
10316416520
11152677462
1289b734b4
1350728114
1430048200
151cba309a
hex12dc2208

316416520 has 96 divisors (see below), whose sum is σ = 864302400. Its totient is φ = 103754112.

The previous prime is 316416493. The next prime is 316416523. The reversal of 316416520 is 25614613.

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

It is not an unprimeable number, because it can be changed into a prime (316416523) 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, 41571 + ... + 48589.

It is an arithmetic number, because the mean of its divisors is an integer number (9003150).

Almost surely, 2316416520 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 316416520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432151200).

316416520 is an abundant number, since it is smaller than the sum of its proper divisors (547885880).

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

316416520 is a wasteful number, since it uses less digits than its factorization.

316416520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7067 (or 7056 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 316416520 is about 17788.1005169186. The cubic root of 316416520 is about 681.4275948065.

The spelling of 316416520 in words is "three hundred sixteen million, four hundred sixteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 49 56 70 92 98 115 140 161 184 196 230 245 280 322 392 460 490 644 805 920 980 1127 1288 1610 1960 2254 3220 4508 5635 6440 7019 9016 11270 14038 22540 28076 35095 45080 49133 56152 70190 98266 140380 161437 196532 245665 280760 322874 343931 393064 491330 645748 687862 807185 982660 1130059 1291496 1375724 1614370 1719655 1965320 2260118 2751448 3228740 3439310 4520236 5650295 6457480 6878620 7910413 9040472 11300590 13757240 15820826 22601180 31641652 39552065 45202360 63283304 79104130 158208260 316416520