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206534040 = 233516310559
BaseRepresentation
bin11000100111101…
…11010110011000
3112101122000102220
430103313112120
5410333042130
632254424040
75055340026
oct1423672630
9471560386
10206534040
11a6646099
1259202020
1333a343bb
141d603716
15131ea410
hexc4f7598

206534040 has 64 divisors (see below), whose sum is σ = 623462400. Its totient is φ = 54732672.

The previous prime is 206534033. The next prime is 206534051. The reversal of 206534040 is 40435602.

206534040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 206534040.

It is a congruent number.

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, 14281 + ... + 24839.

It is an arithmetic number, because the mean of its divisors is an integer number (9741600).

Almost surely, 2206534040 is an apocalyptic number.

206534040 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 206534040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311731200).

206534040 is an abundant number, since it is smaller than the sum of its proper divisors (416928360).

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

206534040 is a wasteful number, since it uses less digits than its factorization.

206534040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10736 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 206534040 is about 14371.2922174730. The cubic root of 206534040 is about 591.1039753391.

Adding to 206534040 its reverse (40435602), we get a palindrome (246969642).

The spelling of 206534040 in words is "two hundred six million, five hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1304 1630 1956 2445 3260 3912 4890 6520 9780 10559 19560 21118 31677 42236 52795 63354 84472 105590 126708 158385 211180 253416 316770 422360 633540 1267080 1721117 3442234 5163351 6884468 8605585 10326702 13768936 17211170 20653404 25816755 34422340 41306808 51633510 68844680 103267020 206534040