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2105720 = 23561863
BaseRepresentation
bin1000000010000101111000
310221222111122
420002011320
51014340340
6113044412
723620061
oct10020570
93858448
102105720
111209071
12856708
135895b6
143cb568
152b8db5
hex202178

2105720 has 32 divisors (see below), whose sum is σ = 4821120. Its totient is φ = 827520.

The previous prime is 2105717. The next prime is 2105729. The reversal of 2105720 is 275012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2009 + ... + 2871.

It is an arithmetic number, because the mean of its divisors is an integer number (150660).

22105720 is an apocalyptic number.

2105720 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 2105720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560).

2105720 is an abundant number, since it is smaller than the sum of its proper divisors (2715400).

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

2105720 is a wasteful number, since it uses less digits than its factorization.

2105720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 2105720 is about 1451.1099200267. The cubic root of 2105720 is about 128.1740795513.

The spelling of 2105720 in words is "two million, one hundred five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 863 1220 1726 2440 3452 4315 6904 8630 17260 34520 52643 105286 210572 263215 421144 526430 1052860 2105720