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677374560 = 25325470399
BaseRepresentation
bin101000010111111…
…110101001100000
31202012121012012200
4220113332221200
52341401441220
6151114253200
722533405642
oct5027765140
91665535180
10677374560
113183a6595
1216aa27200
13aa449c65
1465d68892
153e703890
hex285fea60

677374560 has 72 divisors (see below), whose sum is σ = 2311545600. Its totient is φ = 180632832.

The previous prime is 677374559. The next prime is 677374573. The reversal of 677374560 is 65473776.

677374560 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 (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233760 + ... + 236639.

It is an arithmetic number, because the mean of its divisors is an integer number (32104800).

Almost surely, 2677374560 is an apocalyptic number.

677374560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

677374560 is an abundant number, since it is smaller than the sum of its proper divisors (1634171040).

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

677374560 is a wasteful number, since it uses less digits than its factorization.

677374560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470420 (or 470409 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The square root of 677374560 is about 26026.4204223324. The cubic root of 677374560 is about 878.2327480742.

The spelling of 677374560 in words is "six hundred seventy-seven million, three hundred seventy-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 470399 940798 1411197 1881596 2351995 2822394 3763192 4233591 4703990 5644788 7055985 7526384 8467182 9407980 11289576 14111970 15052768 16934364 18815960 21167955 22579152 28223940 33868728 37631920 42335910 45158304 56447880 67737456 75263840 84671820 112895760 135474912 169343640 225791520 338687280 677374560