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2105432 = 237241131
BaseRepresentation
bin1000000010000001011000
310221222002222
420002001120
51014333212
6113043212
723616200
oct10020130
93858088
102105432
11120892a
12856508
13589424
143cb400
152b8c72
hex202058

2105432 has 48 divisors (see below), whose sum is σ = 4740120. Its totient is φ = 873600.

The previous prime is 2105431. The next prime is 2105449. The reversal of 2105432 is 2345012.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2105432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16007 + ... + 16137.

22105432 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 2105432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370060).

2105432 is an abundant number, since it is smaller than the sum of its proper divisors (2634688).

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

2105432 is a wasteful number, since it uses less digits than its factorization.

2105432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2105432 is about 1451.0106822488. The cubic root of 2105432 is about 128.1682358149.

The spelling of 2105432 in words is "two million, one hundred five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 131 164 196 262 287 328 392 524 574 917 1048 1148 1834 2009 2296 3668 4018 5371 6419 7336 8036 10742 12838 16072 21484 25676 37597 42968 51352 75194 150388 263179 300776 526358 1052716 2105432