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56685000 = 233543779
BaseRepresentation
bin1101100000111…
…1000111001000
310221122220012110
43120033013020
5104002410000
65342542320
71255546251
oct330170710
9127586173
1056685000
1129aa7309
1216b979a0
13b989128
147757b28
154e9a850
hex360f1c8

56685000 has 80 divisors (see below), whose sum is σ = 177130800. Its totient is φ = 15112000.

The previous prime is 56684911. The next prime is 56685029. The reversal of 56685000 is 58665.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13111 + ... + 16889.

It is an arithmetic number, because the mean of its divisors is an integer number (2214135).

Almost surely, 256685000 is an apocalyptic number.

56685000 is a gapful number since it is divisible by the number (50) 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 56685000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88565400).

56685000 is an abundant number, since it is smaller than the sum of its proper divisors (120445800).

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

56685000 is a wasteful number, since it uses less digits than its factorization.

56685000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 56685000 is about 7528.9441490823. The cubic root of 56685000 is about 384.1398687527.

The spelling of 56685000 in words is "fifty-six million, six hundred eighty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3750 3779 5000 7500 7558 11337 15000 15116 18895 22674 30232 37790 45348 56685 75580 90696 94475 113370 151160 188950 226740 283425 377900 453480 472375 566850 755800 944750 1133700 1417125 1889500 2267400 2361875 2834250 3779000 4723750 5668500 7085625 9447500 11337000 14171250 18895000 28342500 56685000