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2040420800 = 265211115933
BaseRepresentation
bin111100110011110…
…0101100111000000
312021012102010010202
41321213211213000
513134321431200
6534245144332
7101364201455
oct17147454700
95235363122
102040420800
11957845390
1248b3bb0a8
1326695a5b2
14154dbb82c
15be1e91d5
hex799e59c0

2040420800 has 84 divisors (see below), whose sum is σ = 5477185896. Its totient is φ = 741964800.

The previous prime is 2040420799. The next prime is 2040420839. The reversal of 2040420800 is 80240402.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 40367 + ... + 75566.

It is an arithmetic number, because the mean of its divisors is an integer number (65204594).

Almost surely, 22040420800 is an apocalyptic number.

2040420800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040420800 is an abundant number, since it is smaller than the sum of its proper divisors (3436765096).

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

2040420800 is a wasteful number, since it uses less digits than its factorization.

2040420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115966 (or 115951 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2040420800 is about 45171.0172566437. The cubic root of 2040420800 is about 1268.3523386718.

The spelling of 2040420800 in words is "two billion, forty million, four hundred twenty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 115933 231866 463732 579665 927464 1159330 1275263 1854928 2318660 2550526 2898325 3709856 4637320 5101052 5796650 6376315 7419712 9274640 10202104 11593300 12752630 18549280 20404208 23186600 25505260 31881575 37098560 40808416 46373200 51010520 63763150 81616832 92746400 102021040 127526300 185492800 204042080 255052600 408084160 510105200 1020210400 2040420800