Search a number
-
+
206242520 = 23511736421
BaseRepresentation
bin11000100101100…
…00001011011000
3112101002012112212
430102300023120
5410244230040
632244254252
75053014101
oct1422601330
9471065485
10206242520
11a6467070
12590a1388
13339617c3
141d5693a8
151318dd65
hexc4b02d8

206242520 has 64 divisors (see below), whose sum is σ = 513246240. Its totient is φ = 73958400.

The previous prime is 206242507. The next prime is 206242523. The reversal of 206242520 is 25242602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206242523) by changing a digit.

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, 28910 + ... + 35330.

Almost surely, 2206242520 is an apocalyptic number.

206242520 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 206242520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256623120).

206242520 is an abundant number, since it is smaller than the sum of its proper divisors (307003720).

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

206242520 is a wasteful number, since it uses less digits than its factorization.

206242520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6516 (or 6512 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 206242520 is about 14361.1461938106. The cubic root of 206242520 is about 590.8257326344.

The spelling of 206242520 in words is "two hundred six million, two hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2920 3212 4015 6421 6424 8030 12842 16060 25684 32105 32120 51368 64210 70631 128420 141262 256840 282524 353155 468733 565048 706310 937466 1412620 1874932 2343665 2825240 3749864 4687330 5156063 9374660 10312126 18749320 20624252 25780315 41248504 51560630 103121260 206242520