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2105823740 = 2251011042487
BaseRepresentation
bin111110110000100…
…0101000111111100
312102202110221002212
41331201011013330
513303042324430
6544543035552
7103120130546
oct17541050774
95382427085
102105823740
119907565a9
124a929bbb8
13277379867
1415d964696
15c4d17b95
hex7d8451fc

2105823740 has 24 divisors (see below), whose sum is σ = 4466018592. Its totient is φ = 833988800.

The previous prime is 2105823697. The next prime is 2105823743. The reversal of 2105823740 is 473285012.

It is a junction number, because it is equal to n+sod(n) for n = 2105823697 and 2105823706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105823743) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 519224 + ... + 523263.

It is an arithmetic number, because the mean of its divisors is an integer number (186084108).

Almost surely, 22105823740 is an apocalyptic number.

2105823740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105823740 is an abundant number, since it is smaller than the sum of its proper divisors (2360194852).

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

2105823740 is a wasteful number, since it uses less digits than its factorization.

2105823740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042597 (or 1042595 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2105823740 is about 45889.2551693749. The cubic root of 2105823740 is about 1281.7618438337.

The spelling of 2105823740 in words is "two billion, one hundred five million, eight hundred twenty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 1042487 2084974 4169948 5212435 10424870 20849740 105291187 210582374 421164748 526455935 1052911870 2105823740