Search a number
-
+
285131820 = 223517279541
BaseRepresentation
bin10000111111101…
…100010000101100
3201212112012022210
4100333230100230
51040443204240
644143210420
710031403051
oct2077542054
9655465283
10285131820
11136a49836
127b5a6a10
13470c346c
1429c23028
151a073780
hex10fec42c

285131820 has 48 divisors (see below), whose sum is σ = 845335008. Its totient is φ = 71562240.

The previous prime is 285131813. The next prime is 285131887. The reversal of 285131820 is 28131582.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138751 + ... + 140790.

It is an arithmetic number, because the mean of its divisors is an integer number (17611146).

Almost surely, 2285131820 is an apocalyptic number.

285131820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285131820 is an abundant number, since it is smaller than the sum of its proper divisors (560203188).

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

285131820 is a wasteful number, since it uses less digits than its factorization.

285131820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279570 (or 279568 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 285131820 is about 16885.8467362463. The cubic root of 285131820 is about 658.1858813421.

The spelling of 285131820 in words is "two hundred eighty-five million, one hundred thirty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 279541 559082 838623 1118164 1397705 1677246 2795410 3354492 4193115 4752197 5590820 8386230 9504394 14256591 16772460 19008788 23760985 28513182 47521970 57026364 71282955 95043940 142565910 285131820