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206248040 = 23519416619
BaseRepresentation
bin11000100101100…
…01100001101000
3112101002111010022
430102301201220
5410244414130
632244340012
75053036145
oct1422614150
9471074108
10206248040
11a6470229
12590a4608
133396417b
141d56b3cc
15131907e5
hexc4b1868

206248040 has 64 divisors (see below), whose sum is σ = 500472000. Its totient is φ = 76239360.

The previous prime is 206248039. The next prime is 206248057. The reversal of 206248040 is 40842602.

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, 27851 + ... + 34469.

It is an arithmetic number, because the mean of its divisors is an integer number (7819875).

Almost surely, 2206248040 is an apocalyptic number.

206248040 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 206248040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250236000).

206248040 is an abundant number, since it is smaller than the sum of its proper divisors (294223960).

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

206248040 is a wasteful number, since it uses less digits than its factorization.

206248040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6690 (or 6686 counting only the distinct ones).

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

The square root of 206248040 is about 14361.3383777418. The cubic root of 206248040 is about 590.8310036602.

The spelling of 206248040 in words is "two hundred six million, two hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 152 164 190 205 328 380 410 760 779 820 1558 1640 3116 3895 6232 6619 7790 13238 15580 26476 31160 33095 52952 66190 125761 132380 251522 264760 271379 503044 542758 628805 1006088 1085516 1257610 1356895 2171032 2515220 2713790 5030440 5156201 5427580 10312402 10855160 20624804 25781005 41249608 51562010 103124020 206248040