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716290960 = 2457113312
BaseRepresentation
bin101010101100011…
…011101110010000
31211220211100110211
4222230123232100
52431332302320
6155024333504
723515241560
oct5254335620
91756740424
10716290960
11338367000
1217ba74294
13b5524508
146b1b8da0
1542d3e55a
hex2ab1bb90

716290960 has 240 divisors, whose sum is σ = 2163182976. Its totient is φ = 216057600.

The previous prime is 716290921. The next prime is 716290963. The reversal of 716290960 is 69092617.

716290960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (716290963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23106145 + ... + 23106175.

Almost surely, 2716290960 is an apocalyptic number.

716290960 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 716290960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081591488).

716290960 is an abundant number, since it is smaller than the sum of its proper divisors (1446892016).

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

716290960 is a wasteful number, since it uses less digits than its factorization.

716290960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 716290960 is about 26763.6126111555. The cubic root of 716290960 is about 894.7392517776.

The spelling of 716290960 in words is "seven hundred sixteen million, two hundred ninety thousand, nine hundred sixty".