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2021340906 = 23413959801
BaseRepresentation
bin111100001111011…
…0011011011101010
312012212111202110000
41320132303123222
513114430402111
6532324203430
7101043054114
oct17036633352
95185452400
102021340906
11947aa3382
12484b39576
13262a09c10
141526523b4
15bc6cac56
hex787b36ea

2021340906 has 40 divisors (see below), whose sum is σ = 4877713764. Its totient is φ = 621950400.

The previous prime is 2021340887. The next prime is 2021340913. The reversal of 2021340906 is 6090431202.

It can be written as a sum of positive squares in 2 ways, for example, as 1996749225 + 24591681 = 44685^2 + 4959^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2021340906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 477795 + ... + 482006.

Almost surely, 22021340906 is an apocalyptic number.

2021340906 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2021340906 is an abundant number, since it is smaller than the sum of its proper divisors (2856372858).

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

2021340906 is a wasteful number, since it uses less digits than its factorization.

2021340906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959828 (or 959819 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2021340906 is about 44959.3250171752. The cubic root of 2021340906 is about 1264.3865139642.

The spelling of 2021340906 in words is "two billion, twenty-one million, three hundred forty thousand, nine hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 959801 1919602 2879403 5758806 8638209 12477413 17276418 24954826 25914627 37432239 51829254 74864478 77743881 112296717 155487762 224593434 336890151 673780302 1010670453 2021340906