Search a number
-
+
189406998 = 23411157677
BaseRepresentation
bin10110100101000…
…01111100010110
3111012101212120000
423102201330112
5341442010443
630443352130
74456634664
oct1322417426
9435355500
10189406998
1197a08310
1253522646
1330318861
141b225c34
15119658d3
hexb4a1f16

189406998 has 80 divisors (see below), whose sum is σ = 466632144. Its totient is φ = 56946240.

The previous prime is 189406969. The next prime is 189406999. The reversal of 189406998 is 899604981.

189406998 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189406999) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 279436 + ... + 280112.

Almost surely, 2189406998 is an apocalyptic number.

189406998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189406998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233316072).

189406998 is an abundant number, since it is smaller than the sum of its proper divisors (277225146).

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

189406998 is a wasteful number, since it uses less digits than its factorization.

189406998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 189406998 is about 13762.5214986208. The cubic root of 189406998 is about 574.2909955597.

The spelling of 189406998 in words is "one hundred eighty-nine million, four hundred six thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 157 162 198 297 314 471 594 677 891 942 1354 1413 1727 1782 2031 2826 3454 4062 4239 5181 6093 7447 8478 10362 12186 12717 14894 15543 18279 22341 25434 31086 36558 44682 46629 54837 67023 93258 106289 109674 134046 139887 201069 212578 279774 318867 402138 603207 637734 956601 1169179 1206414 1913202 2338358 2869803 3507537 5739606 7015074 8609409 10522611 17218818 21045222 31567833 63135666 94703499 189406998