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2105024 = 26311061
BaseRepresentation
bin1000000001111011000000
310221221112212
420001323000
51014330044
6113041252
723615045
oct10017300
93857485
102105024
111208599
12856228
1358919c
143cb1cc
152b8a9e
hex201ec0

2105024 has 28 divisors (see below), whose sum is σ = 4315968. Its totient is φ = 1017600.

The previous prime is 2105009. The next prime is 2105027. The reversal of 2105024 is 4205012.

It is a super-2 number, since 2×21050242 = 8862252081152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2105027) 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 3 ways as a sum of consecutive naturals, for example, 1454 + ... + 2514.

22105024 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 2105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157984).

2105024 is an abundant number, since it is smaller than the sum of its proper divisors (2210944).

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

2105024 is a wasteful number, since it uses less digits than its factorization.

2105024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2105024 is about 1450.8700837773. The cubic root of 2105024 is about 128.1599562760.

The spelling of 2105024 in words is "two million, one hundred five thousand, twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1061 1984 2122 4244 8488 16976 32891 33952 65782 67904 131564 263128 526256 1052512 2105024