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716416640 = 2751676703
BaseRepresentation
bin101010101100111…
…010011010000000
31211221001201212122
4222230322122000
52431400313030
6155031143412
723516304152
oct5254723200
91757051778
10716416640
11338442475
1217bb14b68
13b5569794
146b20cad2
1542d668e5
hex2ab3a680

716416640 has 64 divisors (see below), whose sum is σ = 1723196160. Its totient is φ = 284808192.

The previous prime is 716416637. The next prime is 716416661. The reversal of 716416640 is 46614617.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 716416640.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 103529 + ... + 110231.

It is an arithmetic number, because the mean of its divisors is an integer number (26924940).

Almost surely, 2716416640 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 716416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861598080).

716416640 is an abundant number, since it is smaller than the sum of its proper divisors (1006779520).

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

716416640 is a wasteful number, since it uses less digits than its factorization.

716416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6889 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 716416640 is about 26765.9604722117. The cubic root of 716416640 is about 894.7915788622.

The spelling of 716416640 in words is "seven hundred sixteen million, four hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 167 320 334 640 668 835 1336 1670 2672 3340 5344 6680 6703 10688 13360 13406 21376 26720 26812 33515 53440 53624 67030 106880 107248 134060 214496 268120 428992 536240 857984 1072480 1119401 2144960 2238802 4289920 4477604 5597005 8955208 11194010 17910416 22388020 35820832 44776040 71641664 89552080 143283328 179104160 358208320 716416640