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189966940 = 225194189137
BaseRepresentation
bin10110101001010…
…10101001011100
3111020110022122121
423110222221130
5342112420230
630503352324
74464456322
oct1324525134
9436408577
10189966940
119825aa79
12537526a4
1330483697
141b32dd12
1511a2677a
hexb52aa5c

189966940 has 96 divisors (see below), whose sum is σ = 438177600. Its totient is φ = 68935680.

The previous prime is 189966929. The next prime is 189966943. The reversal of 189966940 is 49669981.

189966940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189966943) 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, 1386552 + ... + 1386688.

It is an arithmetic number, because the mean of its divisors is an integer number (4564350).

Almost surely, 2189966940 is an apocalyptic number.

189966940 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 189966940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219088800).

189966940 is an abundant number, since it is smaller than the sum of its proper divisors (248210660).

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

189966940 is a wasteful number, since it uses less digits than its factorization.

189966940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The square root of 189966940 is about 13782.8494876785. The cubic root of 189966940 is about 574.8563623573.

The spelling of 189966940 in words is "one hundred eighty-nine million, nine hundred sixty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 89 95 137 164 178 190 205 274 356 380 410 445 548 685 779 820 890 1370 1558 1691 1780 2603 2740 3116 3382 3649 3895 5206 5617 6764 7298 7790 8455 10412 11234 12193 13015 14596 15580 16910 18245 22468 24386 26030 28085 33820 36490 48772 52060 56170 60965 69331 72980 106723 112340 121930 138662 213446 231667 243860 277324 346655 426892 463334 499913 533615 693310 926668 999826 1067230 1158335 1386620 1999652 2134460 2316670 2499565 4633340 4999130 9498347 9998260 18996694 37993388 47491735 94983470 189966940