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679764960 = 25345759127
BaseRepresentation
bin101000100001000…
…110001111100000
31202101002122020000
4220201012033200
52343004434320
6151241420000
722562623020
oct5041061740
91671078200
10679764960
11319789526
1216b79a600
13aaaa5cb4
14663cba80
153ea26c90
hex288463e0

679764960 has 480 divisors, whose sum is σ = 2810142720. Its totient is φ = 151538688.

The previous prime is 679764929. The next prime is 679764971. The reversal of 679764960 is 69467976.

679764960 = 523 + 533 + ... + 2283.

679764960 is a `hidden beast` number, since 67 + 97 + 6 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 679764897 and 679764906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5352417 + ... + 5352543.

It is an arithmetic number, because the mean of its divisors is an integer number (5854464).

Almost surely, 2679764960 is an apocalyptic number.

679764960 is a gapful number since it is divisible by the number (60) 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 679764960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405071360).

679764960 is an abundant number, since it is smaller than the sum of its proper divisors (2130377760).

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

679764960 is a wasteful number, since it uses less digits than its factorization.

679764960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 679764960 is about 26072.3025450381. The cubic root of 679764960 is about 879.2646060065.

The spelling of 679764960 in words is "six hundred seventy-nine million, seven hundred sixty-four thousand, nine hundred sixty".