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716359680 = 2113352591
BaseRepresentation
bin101010101100101…
…100100000000000
31211220221211202000
4222230230200000
52431342002210
6155030024000
723515646121
oct5254544000
91756854660
10716359680
113384036a3
1217baa8000
13b554988a
146b1d6048
1542d54ac0
hex2ab2c800

716359680 has 192 divisors, whose sum is σ = 2547417600. Its totient is φ = 190955520.

The previous prime is 716359673. The next prime is 716359681. The reversal of 716359680 is 86953617.

It is a happy number.

716359680 is a `hidden beast` number, since 7 + 1 + 635 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7163596802 = 1026342382259404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (716359681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275185 + ... + 277775.

It is an arithmetic number, because the mean of its divisors is an integer number (13267800).

Almost surely, 2716359680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 716359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273708800).

716359680 is an abundant number, since it is smaller than the sum of its proper divisors (1831057920).

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

716359680 is a wasteful number, since it uses less digits than its factorization.

716359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 716359680 is about 26764.8964130258. The cubic root of 716359680 is about 894.7678642264.

The spelling of 716359680 in words is "seven hundred sixteen million, three hundred fifty-nine thousand, six hundred eighty".