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206064040 = 23571356611
BaseRepresentation
bin11000100100001…
…00100110101000
3112100202010201111
430102010212220
5410223022130
632240400104
75051341540
oct1422044650
9470663644
10206064040
11a6354a66
1259016034
13338cb4b0
141d520320
151315602a
hexc4849a8

206064040 has 64 divisors (see below), whose sum is σ = 570648960. Its totient is φ = 65214720.

The previous prime is 206064031. The next prime is 206064043. The reversal of 206064040 is 40460602.

It is a super-2 number, since 2×2060640402 = 84924777162243200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (206064043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24666 + ... + 31945.

It is an arithmetic number, because the mean of its divisors is an integer number (8916390).

Almost surely, 2206064040 is an apocalyptic number.

206064040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206064040 is an abundant number, since it is smaller than the sum of its proper divisors (364584920).

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

206064040 is a wasteful number, since it uses less digits than its factorization.

206064040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56642 (or 56638 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 206064040 is about 14354.9308601609. The cubic root of 206064040 is about 590.6552520921.

The spelling of 206064040 in words is "two hundred six million, sixty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 56611 113222 226444 283055 396277 452888 566110 735943 792554 1132220 1471886 1585108 1981385 2264440 2943772 3170216 3679715 3962770 5151601 5887544 7359430 7925540 10303202 14718860 15851080 20606404 25758005 29437720 41212808 51516010 103032020 206064040