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679359960 = 23355371889
BaseRepresentation
bin101000011111100…
…011010111011000
31202100100001200000
4220133203113120
52342404004320
6151225013000
722556315166
oct5037432730
91670301600
10679359960
11319532214
1216b624160
13aa993856
1466324236
153e996c90
hex287e35d8

679359960 has 192 divisors, whose sum is σ = 2352823200. Its totient is φ = 176173056.

The previous prime is 679359959. The next prime is 679359979. The reversal of 679359960 is 69953976.

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 = 679359897 and 679359906.

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, 358696 + ... + 360584.

Almost surely, 2679359960 is an apocalyptic number.

679359960 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 679359960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176411600).

679359960 is an abundant number, since it is smaller than the sum of its proper divisors (1673463240).

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

679359960 is a wasteful number, since it uses less digits than its factorization.

679359960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 679359960 is about 26064.5345249057. The cubic root of 679359960 is about 879.0899510738.

Adding to 679359960 its product of nonzero digits (2755620), we get a triangular number (682115580 = T36935).

The spelling of 679359960 in words is "six hundred seventy-nine million, three hundred fifty-nine thousand, nine hundred sixty".