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2105800 = 235210529
BaseRepresentation
bin1000000010000111001000
310221222121121
420002013020
51014341200
6113045024
723620234
oct10020710
93858547
102105800
111209134
12856774
13589648
143cb5c4
152b8e1a
hex2021c8

2105800 has 24 divisors (see below), whose sum is σ = 4896450. Its totient is φ = 842240.

The previous prime is 2105767. The next prime is 2105809. The reversal of 2105800 is 85012.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1833316 + 272484 = 1354^2 + 522^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5065 + ... + 5464.

22105800 is an apocalyptic number.

2105800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105800 is an abundant number, since it is smaller than the sum of its proper divisors (2790650).

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

2105800 is a wasteful number, since it uses less digits than its factorization.

2105800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10545 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 2105800 is about 1451.1374848718. The cubic root of 2105800 is about 128.1757027169.

It can be divided in two parts, 2 and 105800, that multiplied together give a square (211600 = 4602).

The spelling of 2105800 in words is "two million, one hundred five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10529 21058 42116 52645 84232 105290 210580 263225 421160 526450 1052900 2105800