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674599680 = 28325311889
BaseRepresentation
bin101000001101011…
…001001100000000
31202000101012210100
4220031121030000
52340144142210
6150535002400
722501000626
oct5015311400
91660335710
10674599680
113168807a7
12169b09400
13a99b7c11
1465845516
153e3565c0
hex28359300

674599680 has 216 divisors, whose sum is σ = 2410611840. Its totient is φ = 173998080.

The previous prime is 674599621. The next prime is 674599697. The reversal of 674599680 is 86995476.

It is a super-2 number, since 2×6745996802 = 910169456512204800, which contains 22 as substring.

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, 356176 + ... + 358064.

It is an arithmetic number, because the mean of its divisors is an integer number (11160240).

Almost surely, 2674599680 is an apocalyptic number.

674599680 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 674599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205305920).

674599680 is an abundant number, since it is smaller than the sum of its proper divisors (1736012160).

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

674599680 is a wasteful number, since it uses less digits than its factorization.

674599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1930 counting only the distinct ones).

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

The square root of 674599680 is about 25973.0568089318. The cubic root of 674599680 is about 877.0318734253.

The spelling of 674599680 in words is "six hundred seventy-four million, five hundred ninety-nine thousand, six hundred eighty".