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674995680 = 25385643
BaseRepresentation
bin101000001110111…
…001110111100000
31202001010100000000
4220032321313200
52340244330210
6150551300000
722504240302
oct5016716740
91661110000
10674995680
11317021277
1216a07a600
13a9ac6238
1465909972
153e3d3ac0
hex283b9de0

674995680 has 216 divisors, whose sum is σ = 2395614312. Its totient is φ = 179718912.

The previous prime is 674995679. The next prime is 674995733. The reversal of 674995680 is 86599476.

674995680 is a `hidden beast` number, since 6 + 74 + 9 + 9 + 568 + 0 = 666.

674995680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049439 + ... + 1050081.

It is an arithmetic number, because the mean of its divisors is an integer number (11090807).

Almost surely, 2674995680 is an apocalyptic number.

674995680 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 674995680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197807156).

674995680 is an abundant number, since it is smaller than the sum of its proper divisors (1720618632).

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

674995680 is an frugal number, since it uses more digits than its factorization.

674995680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 674995680 is about 25980.6789749614. The cubic root of 674995680 is about 877.2034500885.

The spelling of 674995680 in words is "six hundred seventy-four million, nine hundred ninety-five thousand, six hundred eighty".