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2105856 = 2932457
BaseRepresentation
bin1000000010001000000000
310221222200200
420002020000
51014341411
6113045200
723620344
oct10021000
93858620
102105856
111209185
12856800
1358968c
143cb624
152b8e56
hex202200

2105856 has 60 divisors (see below), whose sum is σ = 6090942. Its totient is φ = 700416.

The previous prime is 2105843. The next prime is 2105863. The reversal of 2105856 is 6585012.

It can be written as a sum of positive squares in only one way, i.e., 1440000 + 665856 = 1200^2 + 816^2 .

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4380 + ... + 4836.

22105856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045471).

2105856 is an abundant number, since it is smaller than the sum of its proper divisors (3985086).

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

2105856 is an equidigital number, since it uses as much as digits as its factorization.

2105856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2105856 is about 1451.1567799518. The cubic root of 2105856 is about 128.1768389083.

The spelling of 2105856 in words is "two million, one hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 457 512 576 768 914 1152 1371 1536 1828 2304 2742 3656 4113 4608 5484 7312 8226 10968 14624 16452 21936 29248 32904 43872 58496 65808 87744 116992 131616 175488 233984 263232 350976 526464 701952 1052928 2105856