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56705680 = 2454331637
BaseRepresentation
bin1101100001010…
…0001010010000
310221200221120101
43120110022100
5104004040210
65343222144
71255663453
oct330241220
9127627511
1056705680
112a0108a9
1216ba7954
13b995675
14776149a
154ea1a3a
hex3614290

56705680 has 40 divisors (see below), whose sum is σ = 132225912. Its totient is φ = 22616064.

The previous prime is 56705657. The next prime is 56705689. The reversal of 56705680 is 8650765.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 54346384 = 1536^2 + 7372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (56705689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33822 + ... + 35458.

Almost surely, 256705680 is an apocalyptic number.

It is an amenable number.

56705680 is an abundant number, since it is smaller than the sum of its proper divisors (75520232).

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

56705680 is a wasteful number, since it uses less digits than its factorization.

56705680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 56705680 is about 7530.3173903893. The cubic root of 56705680 is about 384.1865774447.

The spelling of 56705680 in words is "fifty-six million, seven hundred five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 433 866 1637 1732 2165 3274 3464 4330 6548 6928 8185 8660 13096 16370 17320 26192 32740 34640 65480 130960 708821 1417642 2835284 3544105 5670568 7088210 11341136 14176420 28352840 56705680