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204286040 = 23574211733
BaseRepresentation
bin11000010110100…
…10100001011000
3112020101210202122
430023102201120
5404244123130
632134320412
75030255060
oct1413224130
9466353678
10204286040
11a5350142
12584b9108
133342811a
141d1ba3a0
1512e042e5
hexc2d2858

204286040 has 64 divisors (see below), whose sum is σ = 526858560. Its totient is φ = 69834240.

The previous prime is 204286031. The next prime is 204286057. The reversal of 204286040 is 40682402.

It is a super-2 number, since 2×2042860402 = 83465572277763200, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 117014 + ... + 118746.

It is an arithmetic number, because the mean of its divisors is an integer number (8232165).

Almost surely, 2204286040 is an apocalyptic number.

204286040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204286040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263429280).

204286040 is an abundant number, since it is smaller than the sum of its proper divisors (322572520).

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

204286040 is a wasteful number, since it uses less digits than its factorization.

204286040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 204286040 is about 14292.8667523349. The cubic root of 204286040 is about 588.9515421387.

The spelling of 204286040 in words is "two hundred four million, two hundred eighty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 421 842 1684 1733 2105 2947 3368 3466 4210 5894 6932 8420 8665 11788 12131 13864 14735 16840 17330 23576 24262 29470 34660 48524 58940 60655 69320 97048 117880 121310 242620 485240 729593 1459186 2918372 3647965 5107151 5836744 7295930 10214302 14591860 20428604 25535755 29183720 40857208 51071510 102143020 204286040