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56300430 = 235171011093
BaseRepresentation
bin1101011011000…
…1001110001110
310220221100200010
43112301032032
5103403103210
65330414050
71252355124
oct326611616
9126840603
1056300430
112986438a
1216a31326
13b883084
147697914
154e21920
hex35b138e

56300430 has 64 divisors (see below), whose sum is σ = 144618048. Its totient is φ = 13977600.

The previous prime is 56300417. The next prime is 56300441. The reversal of 56300430 is 3400365.

It is a junction number, because it is equal to n+sod(n) for n = 56300397 and 56300406.

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, 50964 + ... + 52056.

It is an arithmetic number, because the mean of its divisors is an integer number (2259657).

Almost surely, 256300430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56300430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72309024).

56300430 is an abundant number, since it is smaller than the sum of its proper divisors (88317618).

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

56300430 is a wasteful number, since it uses less digits than its factorization.

56300430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 56300430 is about 7503.3612468013. The cubic root of 56300430 is about 383.2691856533.

Adding to 56300430 its reverse (3400365), we get a palindrome (59700795).

The spelling of 56300430 in words is "fifty-six million, three hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 101 102 170 202 255 303 505 510 606 1010 1093 1515 1717 2186 3030 3279 3434 5151 5465 6558 8585 10302 10930 16395 17170 18581 25755 32790 37162 51510 55743 92905 110393 111486 185810 220786 278715 331179 551965 557430 662358 1103930 1655895 1876681 3311790 3753362 5630043 9383405 11260086 18766810 28150215 56300430