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679287960 = 2332513173839
BaseRepresentation
bin101000011111010…
…001110010011000
31202100012101220100
4220133101302120
52342344203320
6151223255400
722555565241
oct5037216230
91670171810
10679287960
1131949310a
1216b5aa560
13aa969b50
1466305cc8
153e980790
hex287d1c98

679287960 has 192 divisors, whose sum is σ = 2394100800. Its totient is φ = 166044672.

The previous prime is 679287941. The next prime is 679287979. The reversal of 679287960 is 69782976.

It is an interprime number because it is at equal distance from previous prime (679287941) and next prime (679287979).

It is a super-2 number, since 2×6792879602 = 922864265201923200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 679287897 and 679287906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809221 + ... + 810059.

It is an arithmetic number, because the mean of its divisors is an integer number (12469275).

Almost surely, 2679287960 is an apocalyptic number.

679287960 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 679287960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197050400).

679287960 is an abundant number, since it is smaller than the sum of its proper divisors (1714812840).

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

679287960 is a wasteful number, since it uses less digits than its factorization.

679287960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 679287960 is about 26063.1533011645. The cubic root of 679287960 is about 879.0588940415.

The spelling of 679287960 in words is "six hundred seventy-nine million, two hundred eighty-seven thousand, nine hundred sixty".