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676083960 = 2332529312089
BaseRepresentation
bin101000010011000…
…011100011111000
31202010011121211200
4220103003203320
52341034141320
6151030454200
722516422156
oct5023034370
91663147750
10676083960
113176a4982
1216a504360
13aa0b76a6
1465b103d6
153e54b290
hex284c38f8

676083960 has 192 divisors, whose sum is σ = 2347488000. Its totient is φ = 168376320.

The previous prime is 676083949. The next prime is 676083971. The reversal of 676083960 is 69380676.

676083960 is a `hidden beast` number, since 6 + 7 + 608 + 39 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (676083949) and next prime (676083971).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322596 + ... + 324684.

It is an arithmetic number, because the mean of its divisors is an integer number (12226500).

Almost surely, 2676083960 is an apocalyptic number.

676083960 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 676083960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173744000).

676083960 is an abundant number, since it is smaller than the sum of its proper divisors (1671404040).

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

676083960 is a wasteful number, since it uses less digits than its factorization.

676083960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 676083960 is about 26001.6145652534. The cubic root of 676083960 is about 877.6746286004.

The spelling of 676083960 in words is "six hundred seventy-six million, eighty-three thousand, nine hundred sixty".