Search a number
-
+
989979990 = 235191938999
BaseRepresentation
bin111011000000011…
…110010101010110
32112222211012020120
4323000132111112
54011413324430
6242122412410
733350456016
oct7300362526
92488735216
10989979990
114688aa68a
12237661106
1312a13c49c
149569dc46
155bda2610
hex3b01e556

989979990 has 64 divisors (see below), whose sum is σ = 2514240000. Its totient is φ = 248776704.

The previous prime is 989979983. The next prime is 989980003. The reversal of 989979990 is 99979989.

989979990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105511 + ... + 114509.

It is an arithmetic number, because the mean of its divisors is an integer number (39285000).

Almost surely, 2989979990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989979990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257120000).

989979990 is an abundant number, since it is smaller than the sum of its proper divisors (1524260010).

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

989979990 is a wasteful number, since it uses less digits than its factorization.

989979990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9221.

The product of its (nonzero) digits is 29760696, while the sum is 69.

The square root of 989979990 is about 31463.9474637243. The cubic root of 989979990 is about 996.6487785268.

The spelling of 989979990 in words is "nine hundred eighty-nine million, nine hundred seventy-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 193 285 386 570 579 965 1158 1930 2895 3667 5790 7334 8999 11001 17998 18335 22002 26997 36670 44995 53994 55005 89990 110010 134985 170981 269970 341962 512943 854905 1025886 1709810 1736807 2564715 3473614 5129430 5210421 8684035 10420842 17368070 26052105 32999333 52104210 65998666 98997999 164996665 197995998 329993330 494989995 989979990