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2105960 = 2351719163
BaseRepresentation
bin1000000010001001101000
310221222211112
420002021220
51014342320
6113045452
723620553
oct10021150
93858745
102105960
11120926a
12856888
1358973c
143cb69a
152b8ec5
hex202268

2105960 has 64 divisors (see below), whose sum is σ = 5313600. Its totient is φ = 746496.

The previous prime is 2105953. The next prime is 2105963. The reversal of 2105960 is 695012.

2105960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2105963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12839 + ... + 13001.

It is an arithmetic number, because the mean of its divisors is an integer number (83025).

22105960 is an apocalyptic number.

2105960 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 2105960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656800).

2105960 is an abundant number, since it is smaller than the sum of its proper divisors (3207640).

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

2105960 is a wasteful number, since it uses less digits than its factorization.

2105960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 2105960 is about 1451.1926129911. The cubic root of 2105960 is about 128.1789489247.

The spelling of 2105960 in words is "two million, one hundred five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 163 170 190 323 326 340 380 646 652 680 760 815 1292 1304 1615 1630 2584 2771 3097 3230 3260 5542 6194 6460 6520 11084 12388 12920 13855 15485 22168 24776 27710 30970 52649 55420 61940 105298 110840 123880 210596 263245 421192 526490 1052980 2105960