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679106880 = 26325376373
BaseRepresentation
bin101000011110100…
…101100101000000
31202022212012111200
4220132211211000
52342322410010
6151215341200
722554212304
oct5036454500
91668765450
10679106880
1131937a061
1216b521800
13aa9055ba
1466299d04
153e946cc0
hex287a5940

679106880 has 168 divisors, whose sum is σ = 2399352072. Its totient is φ = 176173056.

The previous prime is 679106867. The next prime is 679106957. The reversal of 679106880 is 88601976.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 300259584 + 378847296 = 17328^2 + 19464^2 .

It is a super-2 number, since 2×6791068802 = 922372308926668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103374 + ... + 109746.

Almost surely, 2679106880 is an apocalyptic number.

679106880 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 679106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199676036).

679106880 is an abundant number, since it is smaller than the sum of its proper divisors (1720245192).

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

679106880 is a wasteful number, since it uses less digits than its factorization.

679106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6433 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 679106880 is about 26059.6791998674. The cubic root of 679106880 is about 878.9807759039.

The spelling of 679106880 in words is "six hundred seventy-nine million, one hundred six thousand, eight hundred eighty".