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2090509920 = 253251451743
BaseRepresentation
bin111110010011010…
…1010011001100000
312101200122220111100
41330212222121200
513240132304140
6543234514400
7102543020052
oct17446523140
95350586440
102090509920
11983047054
124a4135a00
13274147425
1415b8d98d2
15c37e0530
hex7c9aa660

2090509920 has 72 divisors (see below), whose sum is σ = 7133870016. Its totient is φ = 557468928.

The previous prime is 2090509909. The next prime is 2090509933. The reversal of 2090509920 is 299050902.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 724432 + ... + 727311.

It is an arithmetic number, because the mean of its divisors is an integer number (99081528).

Almost surely, 22090509920 is an apocalyptic number.

2090509920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2090509920 is an abundant number, since it is smaller than the sum of its proper divisors (5043360096).

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

2090509920 is a wasteful number, since it uses less digits than its factorization.

2090509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451764 (or 1451753 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 2090509920 is about 45722.0944402157. The cubic root of 2090509920 is about 1278.6472362043.

The spelling of 2090509920 in words is "two billion, ninety million, five hundred nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1451743 2903486 4355229 5806972 7258715 8710458 11613944 13065687 14517430 17420916 21776145 23227888 26131374 29034860 34841832 43552290 46455776 52262748 58069720 65328435 69683664 87104580 104525496 116139440 130656870 139367328 174209160 209050992 232278880 261313740 348418320 418101984 522627480 696836640 1045254960 2090509920