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2094538720 = 255171940529
BaseRepresentation
bin111110011011000…
…0001111111100000
312101222020120222011
41330312001333200
513242200214340
6543501122304
7102622166611
oct17466017740
95358216864
102094538720
11985348a3a
124a5559394
13274c28131
1415c267c08
15c3d390ea
hex7cd81fe0

2094538720 has 96 divisors (see below), whose sum is σ = 5515322400. Its totient is φ = 747012096.

The previous prime is 2094538711. The next prime is 2094538741. The reversal of 2094538720 is 278354902.

2094538720 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31416 + ... + 71944.

It is an arithmetic number, because the mean of its divisors is an integer number (57451275).

Almost surely, 22094538720 is an apocalyptic number.

2094538720 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 2094538720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757661200).

2094538720 is an abundant number, since it is smaller than the sum of its proper divisors (3420783680).

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

2094538720 is a wasteful number, since it uses less digits than its factorization.

2094538720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40580 (or 40572 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 2094538720 is about 45766.1307081995. The cubic root of 2094538720 is about 1279.4681058290.

The spelling of 2094538720 in words is "two billion, ninety-four million, five hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 68 76 80 85 95 136 152 160 170 190 272 304 323 340 380 544 608 646 680 760 1292 1360 1520 1615 2584 2720 3040 3230 5168 6460 10336 12920 25840 40529 51680 81058 162116 202645 324232 405290 648464 688993 770051 810580 1296928 1377986 1540102 1621160 2755972 3080204 3242320 3444965 3850255 5511944 6160408 6484640 6889930 7700510 11023888 12320816 13090867 13779860 15401020 22047776 24641632 26181734 27559720 30802040 52363468 55119440 61604080 65454335 104726936 110238880 123208160 130908670 209453872 261817340 418907744 523634680 1047269360 2094538720