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189610380 = 223253173323
BaseRepresentation
bin10110100110100…
…11100110001100
3111012210012112200
423103103212030
5342020013010
630452001500
74461442641
oct1323234614
9435705480
10189610380
11980370a3
1253600290
133038a2bb
141b279dc8
15119a5cc0
hexb4d398c

189610380 has 72 divisors (see below), whose sum is σ = 577139472. Its totient is φ = 50388096.

The previous prime is 189610373. The next prime is 189610391. The reversal of 189610380 is 83016981.

189610380 is a `hidden beast` number, since 1 + 8 + 9 + 610 + 38 + 0 = 666.

189610380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55399 + ... + 58721.

It is an arithmetic number, because the mean of its divisors is an integer number (8015826).

Almost surely, 2189610380 is an apocalyptic number.

189610380 is a gapful number since it is divisible by the number (10) 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 189610380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288569736).

189610380 is an abundant number, since it is smaller than the sum of its proper divisors (387529092).

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

189610380 is a wasteful number, since it uses less digits than its factorization.

189610380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 189610380 is about 13769.9084964280. The cubic root of 189610380 is about 574.4964766513.

The spelling of 189610380 in words is "one hundred eighty-nine million, six hundred ten thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317 634 951 1268 1585 1902 2853 3170 3323 3804 4755 5706 6340 6646 9510 9969 11412 13292 14265 16615 19020 19938 28530 29907 33230 39876 49845 57060 59814 66460 99690 119628 149535 199380 299070 598140 1053391 2106782 3160173 4213564 5266955 6320346 9480519 10533910 12640692 15800865 18961038 21067820 31601730 37922076 47402595 63203460 94805190 189610380