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189586980 = 223451110639
BaseRepresentation
bin10110100110011…
…01111000100100
3111012202000110000
423103031320210
5342013240410
630451301300
74461314502
oct1323157044
9435660400
10189586980
1198020560
12535aa830
133037c75b
141b271672
151199ddc0
hexb4cde24

189586980 has 120 divisors (see below), whose sum is σ = 648869760. Its totient is φ = 45956160.

The previous prime is 189586967. The next prime is 189587011. The reversal of 189586980 is 89685981.

189586980 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12501 + ... + 23139.

It is an arithmetic number, because the mean of its divisors is an integer number (5407248).

Almost surely, 2189586980 is an apocalyptic number.

189586980 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 189586980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324434880).

189586980 is an abundant number, since it is smaller than the sum of its proper divisors (459282780).

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

189586980 is a wasteful number, since it uses less digits than its factorization.

189586980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10671 (or 10660 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The square root of 189586980 is about 13769.0587913626. The cubic root of 189586980 is about 574.4728426241.

Subtracting from 189586980 its reverse (89685981), we obtain a palindrome (99900999).

The spelling of 189586980 in words is "one hundred eighty-nine million, five hundred eighty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 10639 17820 21278 31917 42556 53195 63834 95751 106390 117029 127668 159585 191502 212780 234058 287253 319170 351087 383004 468116 478755 574506 585145 638340 702174 861759 957510 1053261 1149012 1170290 1404348 1436265 1723518 1755435 1915020 2106522 2340580 2872530 3159783 3447036 3510870 4213044 4308795 5266305 5745060 6319566 7021740 8617590 9479349 10532610 12639132 15798915 17235180 18958698 21065220 31597830 37917396 47396745 63195660 94793490 189586980