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56681310 = 2357436277
BaseRepresentation
bin1101100000111…
…0001101011110
310221122201010210
43120032031132
5104002300220
65342513250
71255532430
oct330161536
9127581123
1056681310
1129aa4564
1216b95826
13b98754a
147756650
154e996e0
hex360e35e

56681310 has 64 divisors (see below), whose sum is σ = 159109632. Its totient is φ = 12652416.

The previous prime is 56681309. The next prime is 56681321. The reversal of 56681310 is 1318665.

It is a super-2 number, since 2×566813102 = 6425541806632200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5892 + ... + 12168.

It is an arithmetic number, because the mean of its divisors is an integer number (2486088).

Almost surely, 256681310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56681310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79554816).

56681310 is an abundant number, since it is smaller than the sum of its proper divisors (102428322).

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

56681310 is a wasteful number, since it uses less digits than its factorization.

56681310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6337.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 56681310 is about 7528.6990908124. The cubic root of 56681310 is about 384.1315331737.

Adding to 56681310 its reverse (1318665), we get a palindrome (57999975).

The spelling of 56681310 in words is "fifty-six million, six hundred eighty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 430 602 645 903 1290 1505 1806 3010 4515 6277 9030 12554 18831 31385 37662 43939 62770 87878 94155 131817 188310 219695 263634 269911 439390 539822 659085 809733 1318170 1349555 1619466 1889377 2699110 3778754 4048665 5668131 8097330 9446885 11336262 18893770 28340655 56681310