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188531980 = 225713711459
BaseRepresentation
bin10110011110011…
…00010100001100
3111010202102020221
423033030110030
5341231010410
630412521124
74446331630
oct1317142414
9433672227
10188531980
119746a95a
12531801a4
13300a04b0
141b078dc0
15118414da
hexb3cc50c

188531980 has 96 divisors (see below), whose sum is σ = 494484480. Its totient is φ = 58786560.

The previous prime is 188531969. The next prime is 188532007. The reversal of 188531980 is 89135881.

188531980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128491 + ... + 129949.

It is an arithmetic number, because the mean of its divisors is an integer number (5150880).

Almost surely, 2188531980 is an apocalyptic number.

188531980 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 188531980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240).

188531980 is an abundant number, since it is smaller than the sum of its proper divisors (305952500).

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

188531980 is a wasteful number, since it uses less digits than its factorization.

188531980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 43.

The square root of 188531980 is about 13730.6948112614. The cubic root of 188531980 is about 573.4052648467.

The spelling of 188531980 in words is "one hundred eighty-eight million, five hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 71 91 130 140 142 182 260 284 355 364 455 497 710 910 923 994 1420 1459 1820 1846 1988 2485 2918 3692 4615 4970 5836 6461 7295 9230 9940 10213 12922 14590 18460 18967 20426 25844 29180 32305 37934 40852 51065 64610 75868 94835 102130 103589 129220 132769 189670 204260 207178 265538 379340 414356 517945 531076 663845 725123 1035890 1327690 1346657 1450246 2071780 2655380 2693314 2900492 3625615 5386628 6733285 7251230 9426599 13466570 14502460 18853198 26933140 37706396 47132995 94265990 188531980