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2105328 = 243231907
BaseRepresentation
bin1000000001111111110000
310221221222010
420001333300
51014332303
6113042520
723615661
oct10017760
93857863
102105328
111208845
12856440
13589374
143cb368
152b8c03
hex201ff0

2105328 has 40 divisors (see below), whose sum is σ = 5678208. Its totient is φ = 670912.

The previous prime is 2105317. The next prime is 2105329. The reversal of 2105328 is 8235012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105329) 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, 151 + ... + 2057.

22105328 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 2105328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839104).

2105328 is an abundant number, since it is smaller than the sum of its proper divisors (3572880).

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

2105328 is a wasteful number, since it uses less digits than its factorization.

2105328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2105328 is about 1450.9748447165. The cubic root of 2105328 is about 128.1661254458.

The spelling of 2105328 in words is "two million, one hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1907 3814 5721 7628 11442 15256 22884 30512 43861 45768 87722 91536 131583 175444 263166 350888 526332 701776 1052664 2105328