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675445680 = 24325713361
BaseRepresentation
bin101000010000100…
…111101110110000
31202001222012021200
4220100213232300
52340403230210
6151005051200
722511123250
oct5020475660
91661865250
10675445680
113172a9378
1216a256b00
13a9c23000
14659c5960
153e4720c0
hex28427bb0

675445680 has 480 divisors, whose sum is σ = 2854400640. Its totient is φ = 140175360.

The previous prime is 675445679. The next prime is 675445691. The reversal of 675445680 is 86544576.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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 95 ways as a sum of consecutive naturals, for example, 11072850 + ... + 11072910.

It is an arithmetic number, because the mean of its divisors is an integer number (5946668).

Almost surely, 2675445680 is an apocalyptic number.

675445680 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 675445680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427200320).

675445680 is an abundant number, since it is smaller than the sum of its proper divisors (2178954960).

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

675445680 is a wasteful number, since it uses less digits than its factorization.

675445680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 675445680 is about 25989.3378138036. The cubic root of 675445680 is about 877.3983421329.

The spelling of 675445680 in words is "six hundred seventy-five million, four hundred forty-five thousand, six hundred eighty".