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4315680 = 2536537
BaseRepresentation
bin10000011101101000100000
322010021000000
4100131220200
52101100210
6232300000
751453105
oct20355040
98107000
104315680
112488486
121541600
13b81475
14804aac
155a3ac0
hex41da20

4315680 has 168 divisors, whose sum is σ = 15699852. Its totient is φ = 1119744.

The previous prime is 4315607. The next prime is 4315709. The reversal of 4315680 is 865134.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 104976 = 2052^2 + 324^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116622 + ... + 116658.

Almost surely, 24315680 is an apocalyptic number.

4315680 is a gapful number since it is divisible by the number (40) 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 4315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7849926).

4315680 is an abundant number, since it is smaller than the sum of its proper divisors (11384172).

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

4315680 is an equidigital number, since it uses as much as digits as its factorization.

4315680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4315680 is about 2077.4214786605. The cubic root of 4315680 is about 162.8107505372.

The spelling of 4315680 in words is "four million, three hundred fifteen thousand, six hundred eighty".