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676870656 = 2937115997
BaseRepresentation
bin101000010110000…
…011101000000000
31202011122120222120
4220112003220000
52341234330111
6151055404240
722526206560
oct5026035000
91664576876
10676870656
11318091a40
1216a823680
13aa3017a7
1465c76da0
153e654406
hex28583a00

676870656 has 320 divisors, whose sum is σ = 2309852160. Its totient is φ = 171048960.

The previous prime is 676870639. The next prime is 676870661. The reversal of 676870656 is 656078676.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 676870599 and 676870608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6978000 + ... + 6978096.

It is an arithmetic number, because the mean of its divisors is an integer number (7218288).

Almost surely, 2676870656 is an apocalyptic number.

676870656 is a gapful number since it is divisible by the number (66) 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 676870656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154926080).

676870656 is an abundant number, since it is smaller than the sum of its proper divisors (1632981504).

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

676870656 is a wasteful number, since it uses less digits than its factorization.

676870656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The square root of 676870656 is about 26016.7379969127. The cubic root of 676870656 is about 878.0149194145.

The spelling of 676870656 in words is "six hundred seventy-six million, eight hundred seventy thousand, six hundred fifty-six".