Search a number
-
+
206115660 = 223251736619
BaseRepresentation
bin11000100100100…
…01001101001100
3112100211202112100
430102101031030
5410231200120
632241435100
75051645202
oct1422211514
9470752470
10206115660
11a638a823
125903ba90
1333918b3a
141d535072
1513166490
hexc49134c

206115660 has 72 divisors (see below), whose sum is σ = 628926480. Its totient is φ = 54638208.

The previous prime is 206115659. The next prime is 206115671. The reversal of 206115660 is 66511602.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 27831 + ... + 34449.

It is an arithmetic number, because the mean of its divisors is an integer number (8735090).

Almost surely, 2206115660 is an apocalyptic number.

206115660 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 206115660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314463240).

206115660 is an abundant number, since it is smaller than the sum of its proper divisors (422810820).

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

206115660 is a wasteful number, since it uses less digits than its factorization.

206115660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6807 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 206115660 is about 14356.7287360318. The cubic root of 206115660 is about 590.7045686032.

The spelling of 206115660 in words is "two hundred six million, one hundred fifteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1557 1730 2076 2595 3114 3460 5190 6228 6619 7785 10380 13238 15570 19857 26476 31140 33095 39714 59571 66190 79428 99285 119142 132380 198570 238284 297855 397140 595710 1145087 1191420 2290174 3435261 4580348 5725435 6870522 10305783 11450870 13741044 17176305 20611566 22901740 34352610 41223132 51528915 68705220 103057830 206115660