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674796720 = 2435132127131
BaseRepresentation
bin101000001110001…
…001010010110000
31202000202020002010
4220032021102300
52340221443340
6150543122520
722502451243
oct5016112260
91660666063
10674796720
113169a5844
12169ba3440
13a9a56800
146589725a
153e394b80
hex283894b0

674796720 has 240 divisors, whose sum is σ = 2300424192. Its totient is φ = 163537920.

The previous prime is 674796671. The next prime is 674796763. The reversal of 674796720 is 27697476.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×6747967202 = 910701226645516800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 674796720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5151055 + ... + 5151185.

Almost surely, 2674796720 is an apocalyptic number.

674796720 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 674796720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150212096).

674796720 is an abundant number, since it is smaller than the sum of its proper divisors (1625627472).

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

674796720 is a wasteful number, since it uses less digits than its factorization.

674796720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The square root of 674796720 is about 25976.8496935252. The cubic root of 674796720 is about 877.1172542040.

The spelling of 674796720 in words is "six hundred seventy-four million, seven hundred ninety-six thousand, seven hundred twenty".