Search a number
-
+
285991830 = 23355092081
BaseRepresentation
bin10001000010111…
…110001110010110
3201221010220001000
4101002332032112
51041203214310
644213444130
710041614265
oct2102761626
9657126030
10285991830
11137486993
127b940646
1347334a47
1429da85dc
151a1934c0
hex110be396

285991830 has 64 divisors (see below), whose sum is σ = 764510400. Its totient is φ = 76078080.

The previous prime is 285991829. The next prime is 285991837. The reversal of 285991830 is 38199582.

It is a happy number.

285991830 is a `hidden beast` number, since 28 + 599 + 1 + 8 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285991837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136390 + ... + 138470.

It is an arithmetic number, because the mean of its divisors is an integer number (11945475).

Almost surely, 2285991830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285991830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382255200).

285991830 is an abundant number, since it is smaller than the sum of its proper divisors (478518570).

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

285991830 is a wasteful number, since it uses less digits than its factorization.

285991830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 285991830 is about 16911.2929724489. The cubic root of 285991830 is about 658.8469536974.

The spelling of 285991830 in words is "two hundred eighty-five million, nine hundred ninety-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 509 1018 1527 2081 2545 3054 4162 4581 5090 6243 7635 9162 10405 12486 13743 15270 18729 20810 22905 27486 31215 37458 45810 56187 62430 68715 93645 112374 137430 187290 280935 561870 1059229 2118458 3177687 5296145 6355374 9533061 10592290 15888435 19066122 28599183 31776870 47665305 57198366 95330610 142995915 285991830