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2108032 = 2743383
BaseRepresentation
bin1000000010101010000000
310222002200021
420002222000
51014424112
6113103224
723626603
oct10025200
93862607
102108032
11120a883
12857b14
1358a674
143cc33a
152b9907
hex202a80

2108032 has 32 divisors (see below), whose sum is σ = 4308480. Its totient is φ = 1026816.

The previous prime is 2108009. The next prime is 2108033. The reversal of 2108032 is 2308012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2107997 and 2108015.

It is not an unprimeable number, because it can be changed into a prime (2108033) 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 3 ways as a sum of consecutive naturals, for example, 5313 + ... + 5695.

It is an arithmetic number, because the mean of its divisors is an integer number (134640).

22108032 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 2108032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154240).

2108032 is an abundant number, since it is smaller than the sum of its proper divisors (2200448).

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

2108032 is an equidigital number, since it uses as much as digits as its factorization.

2108032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2108032 is about 1451.9063330670. The cubic root of 2108032 is about 128.2209724719.

It can be divided in two parts, 21080 and 32, that added together give a palindrome (21112).

The spelling of 2108032 in words is "two million, one hundred eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 383 688 766 1376 1532 2752 3064 5504 6128 12256 16469 24512 32938 49024 65876 131752 263504 527008 1054016 2108032