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56730 = 2353161
BaseRepresentation
bin1101110110011010
32212211010
431312122
53303410
61114350
7324252
oct156632
985733
1056730
1139693
12289b6
131ca8b
1416962
1511c20
hexdd9a

56730 has 32 divisors (see below), whose sum is σ = 142848. Its totient is φ = 14400.

The previous prime is 56713. The next prime is 56731. The reversal of 56730 is 3765.

56730 is nontrivially palindromic in base 11.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 56697 and 56706.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56730.

It is not an unprimeable number, because it can be changed into a prime (56731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 900 + ... + 960.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

256730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424).

56730 is an abundant number, since it is smaller than the sum of its proper divisors (86118).

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

56730 is a wasteful number, since it uses less digits than its factorization.

56730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 56730 is about 238.1806037443. The cubic root of 56730 is about 38.4241493061.

The spelling of 56730 in words is "fifty-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 61 62 93 122 155 183 186 305 310 366 465 610 915 930 1830 1891 3782 5673 9455 11346 18910 28365 56730