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316008720 = 243254359173
BaseRepresentation
bin10010110101011…
…110100100010000
3211000121220110200
4102311132210100
51121344234340
651205055200
710555013136
oct2265364420
9730556420
10316008720
11152419035
12899b7500
1350614611
142dd7d756
151cb22330
hex12d5e910

316008720 has 240 divisors, whose sum is σ = 1110732480. Its totient is φ = 80446464.

The previous prime is 316008713. The next prime is 316008727. The reversal of 316008720 is 27800613.

316008720 is a `hidden beast` number, since 31 + 600 + 8 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (316008713) and next prime (316008727).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3160087202 = 199723022232076800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (316008727) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1826554 + ... + 1826726.

It is an arithmetic number, because the mean of its divisors is an integer number (4628052).

Almost surely, 2316008720 is an apocalyptic number.

316008720 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 316008720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555366240).

316008720 is an abundant number, since it is smaller than the sum of its proper divisors (794723760).

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

316008720 is a wasteful number, since it uses less digits than its factorization.

316008720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 316008720 is about 17776.6341021016. The cubic root of 316008720 is about 681.1347259435.

The spelling of 316008720 in words is "three hundred sixteen million, eight thousand, seven hundred twenty".