Search a number
-
+
2039101000 = 23532418461
BaseRepresentation
bin111100110001010…
…0011011001001000
312021002221001201021
41321202203121020
513134002213000
6534201002224
7101350033606
oct17142433110
95232831637
102039101000
11957023842
1248aa83374
132665b7951
14154b56876
15be03811a
hex798a3648

2039101000 has 64 divisors (see below), whose sum is σ = 4791861360. Its totient is φ = 812160000.

The previous prime is 2039100997. The next prime is 2039101021. The reversal of 2039101000 is 1019302.

It can be written as a sum of positive squares in 8 ways, for example, as 462852196 + 1576248804 = 21514^2 + 39702^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236770 + ... + 245230.

Almost surely, 22039101000 is an apocalyptic number.

2039101000 is a gapful number since it is divisible by the number (20) 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 2039101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395930680).

2039101000 is an abundant number, since it is smaller than the sum of its proper divisors (2752760360).

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

2039101000 is a wasteful number, since it uses less digits than its factorization.

2039101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8723 (or 8709 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 2039101000 is about 45156.4059685888. The cubic root of 2039101000 is about 1268.0788113566.

The spelling of 2039101000 in words is "two billion, thirty-nine million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 241 250 482 500 964 1000 1205 1928 2410 4820 6025 8461 9640 12050 16922 24100 30125 33844 42305 48200 60250 67688 84610 120500 169220 211525 241000 338440 423050 846100 1057625 1692200 2039101 2115250 4078202 4230500 8156404 8461000 10195505 16312808 20391010 40782020 50977525 81564040 101955050 203910100 254887625 407820200 509775250 1019550500 2039101000