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2105232 = 24361719
BaseRepresentation
bin1000000001111110010000
310221221211120
420001332100
51014331412
6113042240
723615463
oct10017620
93857746
102105232
111208768
12856380
135892cc
143cb2da
152b8b8c
hex201f90

2105232 has 40 divisors (see below), whose sum is σ = 5535360. Its totient is φ = 689280.

The previous prime is 2105231. The next prime is 2105251. The reversal of 2105232 is 2325012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2569 + ... + 3287.

It is an arithmetic number, because the mean of its divisors is an integer number (138384).

22105232 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 2105232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767680).

2105232 is an abundant number, since it is smaller than the sum of its proper divisors (3430128).

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

2105232 is a wasteful number, since it uses less digits than its factorization.

2105232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2105232 is about 1450.9417631318. The cubic root of 2105232 is about 128.1641773511.

The spelling of 2105232 in words is "two million, one hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 719 732 976 1438 1464 2157 2876 2928 4314 5752 8628 11504 17256 34512 43859 87718 131577 175436 263154 350872 526308 701744 1052616 2105232