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316980000 = 253354587
BaseRepresentation
bin10010111001001…
…011101100100000
3211002110020211000
4102321023230200
51122121330000
651241552000
710566166641
oct2271135440
9732406730
10316980000
11152a21847
128a1a5600
135089473c
14301536c8
151cc65000
hex12e4bb20

316980000 has 240 divisors, whose sum is σ = 1157254560. Its totient is φ = 84384000.

The previous prime is 316979959. The next prime is 316980007. The reversal of 316980000 is 89613.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (316980007) 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 39 ways as a sum of consecutive naturals, for example, 539707 + ... + 540293.

It is an arithmetic number, because the mean of its divisors is an integer number (4821894).

Almost surely, 2316980000 is an apocalyptic number.

316980000 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 316980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578627280).

316980000 is an abundant number, since it is smaller than the sum of its proper divisors (840274560).

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

316980000 is an equidigital number, since it uses as much as digits as its factorization.

316980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 316980000 is about 17803.9321499493. The cubic root of 316980000 is about 681.8318542713.

The spelling of 316980000 in words is "three hundred sixteen million, nine hundred eighty thousand".