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2091193920 = 26325726109
BaseRepresentation
bin111110010100101…
…0001011001000000
312101201221122202200
41330221101121000
513240321201140
6543301313200
7102551566164
oct17451213100
95351848680
102091193920
11983473a42
124a4405800
1327432686a
1415ba36ca4
15c38c8030
hex7ca51640

2091193920 has 84 divisors (see below), whose sum is σ = 7192845660. Its totient is φ = 557650944.

The previous prime is 2091193901. The next prime is 2091193963. The reversal of 2091193920 is 293911902.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 676832256 + 1414361664 = 26016^2 + 37608^2 .

It is a super-2 number, since 2×20911939202 = 8746184022089932800, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 360175 + ... + 365934.

It is an arithmetic number, because the mean of its divisors is an integer number (85629115).

Almost surely, 22091193920 is an apocalyptic number.

2091193920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2091193920 is an abundant number, since it is smaller than the sum of its proper divisors (5101651740).

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

2091193920 is a wasteful number, since it uses less digits than its factorization.

2091193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726132 (or 726119 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 2091193920 is about 45729.5738007692. The cubic root of 2091193920 is about 1278.7866757626.

The spelling of 2091193920 in words is "two billion, ninety-one million, one hundred ninety-three 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 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 726109 1452218 2178327 2904436 3630545 4356654 5808872 6534981 7261090 8713308 10891635 11617744 13069962 14522180 17426616 21783270 23235488 26139924 29044360 32674905 34853232 43566540 46470976 52279848 58088720 65349810 69706464 87133080 104559696 116177440 130699620 139412928 174266160 209119392 232354880 261399240 348532320 418238784 522798480 697064640 1045596960 2091193920