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2105532 = 22321113409
BaseRepresentation
bin1000000010000010111100
310221222020200
420002002330
51014334112
6113043500
723616402
oct10020274
93858220
102105532
111208a10
12856590
135894a0
143cb472
152b8cdc
hex2020bc

2105532 has 72 divisors (see below), whose sum is σ = 6268080. Its totient is φ = 587520.

The previous prime is 2105513. The next prime is 2105549. The reversal of 2105532 is 2355012.

Added to its reverse (2355012) it gives a square (4460544 = 21122).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 211 + 1 + 0 + 55 + 55 + 34 + 221 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4944 + ... + 5352.

22105532 is an apocalyptic number.

2105532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134040).

2105532 is an abundant number, since it is smaller than the sum of its proper divisors (4162548).

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

2105532 is a wasteful number, since it uses less digits than its factorization.

2105532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2105532 is about 1451.0451405797. The cubic root of 2105532 is about 128.1702649505.

Adding to 2105532 its reverse (2355012), we get a square (4460544 = 21122).

The spelling of 2105532 in words is "two million, one hundred five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 409 429 468 572 818 858 1227 1287 1636 1716 2454 2574 3681 4499 4908 5148 5317 7362 8998 10634 13497 14724 15951 17996 21268 26994 31902 40491 47853 53988 58487 63804 80982 95706 116974 161964 175461 191412 233948 350922 526383 701844 1052766 2105532