Search a number
-
+
206525640 = 23354793593
BaseRepresentation
bin11000100111101…
…01010011001000
3112101121120220210
430103311103020
5410332310030
632254321120
75055303366
oct1423652310
9471546823
10206525640
11a663a852
12591b91a0
1333a30629
141d600636
15131e7bb0
hexc4f54c8

206525640 has 64 divisors (see below), whose sum is σ = 621043200. Its totient is φ = 54943232.

The previous prime is 206525623. The next prime is 206525647. The reversal of 206525640 is 46525602.

It is a Cunningham number, because it is equal to 143712-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 206525598 and 206525607.

It is not an unprimeable number, because it can be changed into a prime (206525647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55684 + ... + 59276.

It is an arithmetic number, because the mean of its divisors is an integer number (9703800).

Almost surely, 2206525640 is an apocalyptic number.

206525640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206525640 is an abundant number, since it is smaller than the sum of its proper divisors (414517560).

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

206525640 is a wasteful number, since it uses less digits than its factorization.

206525640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4086 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 206525640 is about 14370.9999652077. Note that the first 4 decimals coincide. The cubic root of 206525640 is about 591.0959615822.

The spelling of 206525640 in words is "two hundred six million, five hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 479 958 1437 1916 2395 2874 3593 3832 4790 5748 7185 7186 9580 10779 11496 14370 14372 17965 19160 21558 28740 28744 35930 43116 53895 57480 71860 86232 107790 143720 215580 431160 1721047 3442094 5163141 6884188 8605235 10326282 13768376 17210470 20652564 25815705 34420940 41305128 51631410 68841880 103262820 206525640