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285816420 = 223251587869
BaseRepresentation
bin10001000010010…
…011011001100100
3201220210222102100
4101002103121210
51041132111140
644210012100
710040254011
oct2102233144
9656728370
10285816420
1113737711a
127b877030
13472a2c56
1429d60708
151a15b530
hex11093664

285816420 has 36 divisors (see below), whose sum is σ = 866977020. Its totient is φ = 76217664.

The previous prime is 285816413. The next prime is 285816457. The reversal of 285816420 is 24618582.

285816420 is a `hidden beast` number, since 2 + 8 + 5 + 8 + 1 + 642 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 180794916 + 105021504 = 13446^2 + 10248^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 793755 + ... + 794114.

It is an arithmetic number, because the mean of its divisors is an integer number (24082695).

Almost surely, 2285816420 is an apocalyptic number.

285816420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285816420 is an abundant number, since it is smaller than the sum of its proper divisors (581160600).

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

285816420 is a wasteful number, since it uses less digits than its factorization.

285816420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587884 (or 1587879 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 285816420 is about 16906.1059975383. The cubic root of 285816420 is about 658.7122272616.

The spelling of 285816420 in words is "two hundred eighty-five million, eight hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1587869 3175738 4763607 6351476 7939345 9527214 14290821 15878690 19054428 23818035 28581642 31757380 47636070 57163284 71454105 95272140 142908210 285816420