Search a number
-
+
189918810 = 23356771039
BaseRepresentation
bin10110101000111…
…10111001011010
3111020100212122000
423110132321122
5342104400220
630502341430
74464166104
oct1324367132
9436325560
10189918810
11982278a4
125372a876
13304677c3
141b31a574
1511a17390
hexb51ee5a

189918810 has 64 divisors (see below), whose sum is σ = 507686400. Its totient is φ = 50521536.

The previous prime is 189918809. The next prime is 189918811. The reversal of 189918810 is 18819981.

It is an interprime number because it is at equal distance from previous prime (189918809) and next prime (189918811).

It is a super-2 number, since 2×1899188102 = 72138308783632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (189918811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182271 + ... + 183309.

It is an arithmetic number, because the mean of its divisors is an integer number (7932600).

Almost surely, 2189918810 is an apocalyptic number.

189918810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189918810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253843200).

189918810 is an abundant number, since it is smaller than the sum of its proper divisors (317767590).

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

189918810 is a wasteful number, since it uses less digits than its factorization.

189918810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 45.

The square root of 189918810 is about 13781.1033665668. The cubic root of 189918810 is about 574.8078097448.

The spelling of 189918810 in words is "one hundred eighty-nine million, nine hundred eighteen thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 677 1039 1354 2031 2078 3117 3385 4062 5195 6093 6234 6770 9351 10155 10390 12186 15585 18279 18702 20310 28053 30465 31170 36558 46755 56106 60930 91395 93510 140265 182790 280530 703403 1406806 2110209 3517015 4220418 6330627 7034030 10551045 12661254 18991881 21102090 31653135 37983762 63306270 94959405 189918810