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188668890 = 232517317389
BaseRepresentation
bin10110011111011…
…01101111011010
3111011000101001200
423033231233122
5341244401030
630415455030
74450442034
oct1317555732
9434011050
10188668890
1197553803
1253227476
133011a8c7
141b0b2c54
151186bd60
hexb3edbda

188668890 has 96 divisors (see below), whose sum is σ = 522372240. Its totient is φ = 47081472.

The previous prime is 188668889. The next prime is 188668897. The reversal of 188668890 is 98866881.

It can be written as a sum of positive squares in 8 ways, for example, as 35676729 + 152992161 = 5973^2 + 12369^2 .

It is not an unprimeable number, because it can be changed into a prime (188668897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 484816 + ... + 485204.

Almost surely, 2188668890 is an apocalyptic number.

188668890 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 188668890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261186120).

188668890 is an abundant number, since it is smaller than the sum of its proper divisors (333703350).

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

188668890 is a wasteful number, since it uses less digits than its factorization.

188668890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 188668890 is about 13735.6794517053. The cubic root of 188668890 is about 573.5440316125.

The spelling of 188668890 in words is "one hundred eighty-eight million, six hundred sixty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 317 389 510 634 765 778 951 1167 1530 1585 1902 1945 2334 2853 3170 3501 3890 4755 5389 5706 5835 6613 7002 9510 10778 11670 13226 14265 16167 17505 19839 26945 28530 32334 33065 35010 39678 48501 53890 59517 66130 80835 97002 99195 119034 123313 161670 198390 242505 246626 297585 369939 485010 595170 616565 739878 1109817 1233130 1849695 2096321 2219634 3699390 4192642 5549085 6288963 10481605 11098170 12577926 18866889 20963210 31444815 37733778 62889630 94334445 188668890