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2103829 = 71361379
BaseRepresentation
bin1000000001101000010101
310221212220121
420001220111
51014310304
6113031541
723611420
oct10015025
93855817
102103829
111207702
128555b1
13588790
143ca9b7
152b8554
hex201a15

2103829 has 16 divisors (see below), whose sum is σ = 2638720. Its totient is φ = 1632960.

The previous prime is 2103821. The next prime is 2103839. The reversal of 2103829 is 9283012.

It is not a de Polignac number, because 2103829 - 23 = 2103821 is a prime.

It is a super-2 number, since 2×21038292 = 8852192922482, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2 + 1 + 0 + 38 + 87 + 25 + 92 .

2103829 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103821) 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 15 ways as a sum of consecutive naturals, for example, 5362 + ... + 5740.

It is an arithmetic number, because the mean of its divisors is an integer number (164920).

22103829 is an apocalyptic number.

It is an amenable number.

2103829 is a deficient number, since it is larger than the sum of its proper divisors (534891).

2103829 is a wasteful number, since it uses less digits than its factorization.

2103829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2103829 is about 1450.4582034654. The cubic root of 2103829 is about 128.1356999987.

The spelling of 2103829 in words is "two million, one hundred three thousand, eight hundred twenty-nine".

Divisors: 1 7 13 61 91 379 427 793 2653 4927 5551 23119 34489 161833 300547 2103829