Search a number
-
+
18959590 = 25131723373
BaseRepresentation
bin100100001010…
…0110011100110
31022200020200001
41020110303212
514323201330
61514211514
7320103526
oct110246346
938606601
1018959590
11a77a691
126423b9a
133c0a9c0
142737686
1519e79ca
hex1214ce6

18959590 has 64 divisors (see below), whose sum is σ = 40715136. Its totient is φ = 6285312.

The previous prime is 18959561. The next prime is 18959599. The reversal of 18959590 is 9595981.

18959590 = T196 + T197 + ... + T494.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 18959590.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18959599) 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 31 ways as a sum of consecutive naturals, for example, 50644 + ... + 51016.

It is an arithmetic number, because the mean of its divisors is an integer number (636174).

Almost surely, 218959590 is an apocalyptic number.

18959590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18959590 is an abundant number, since it is smaller than the sum of its proper divisors (21755546).

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

18959590 is a wasteful number, since it uses less digits than its factorization.

18959590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433.

The product of its (nonzero) digits is 145800, while the sum is 46.

The square root of 18959590 is about 4354.2611313517. The cubic root of 18959590 is about 266.6508549653.

The spelling of 18959590 in words is "eighteen million, nine hundred fifty-nine thousand, five hundred ninety".

Divisors: 1 2 5 10 13 17 23 26 34 46 65 85 115 130 170 221 230 299 373 391 442 598 746 782 1105 1495 1865 1955 2210 2990 3730 3910 4849 5083 6341 8579 9698 10166 12682 17158 24245 25415 31705 42895 48490 50830 63410 82433 85790 111527 145843 164866 223054 291686 412165 557635 729215 824330 1115270 1458430 1895959 3791918 9479795 18959590