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715680 = 25325771
BaseRepresentation
bin10101110101110100000
31100100201200
42232232200
5140400210
623201200
76040350
oct2565640
91310650
10715680
11449779
122a6200
131c09a4
14148b60
15e20c0
hexaeba0

715680 has 144 divisors (see below), whose sum is σ = 2830464. Its totient is φ = 161280.

The previous prime is 715679. The next prime is 715681. The reversal of 715680 is 86517.

715680 = T105 + T106 + ... + T175.

715680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (715679) and next prime (715681).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (715681) 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, 10045 + ... + 10115.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2715680 is an apocalyptic number.

715680 is a gapful number since it is divisible by the number (70) 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 715680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415232).

715680 is an abundant number, since it is smaller than the sum of its proper divisors (2114784).

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

715680 is a wasteful number, since it uses less digits than its factorization.

715680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 715680 is about 845.9787231367. The cubic root of 715680 is about 89.4484790291.

The spelling of 715680 in words is "seven hundred fifteen thousand, six hundred eighty".