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316219680 = 25335710457
BaseRepresentation
bin10010110110010…
…010000100100000
3211001000121212000
4102312102010200
51121423012210
651213404000
710556552160
oct2266220440
9731017760
10316219680
11152552587
1289a99600
135068964a
142ddd65a0
151cb64ac0
hex12d92120

316219680 has 192 divisors, whose sum is σ = 1264999680. Its totient is φ = 72271872.

The previous prime is 316219667. The next prime is 316219681. The reversal of 316219680 is 86912613.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (316219681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25012 + ... + 35468.

It is an arithmetic number, because the mean of its divisors is an integer number (6588540).

Almost surely, 2316219680 is an apocalyptic number.

316219680 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 316219680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632499840).

316219680 is an abundant number, since it is smaller than the sum of its proper divisors (948780000).

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

316219680 is a wasteful number, since it uses less digits than its factorization.

316219680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10488 (or 10474 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 316219680 is about 17782.5667438646. The cubic root of 316219680 is about 681.2862620767.

The spelling of 316219680 in words is "three hundred sixteen million, two hundred nineteen thousand, six hundred eighty".