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2128032 = 2534821
BaseRepresentation
bin1000000111100010100000
311000010010000
420013202200
51021044112
6113340000
724042114
oct10074240
94003100
102128032
111223905
12867600
135967ba
143d5744
152c07dc
hex2078a0

2128032 has 60 divisors (see below), whose sum is σ = 6266106. Its totient is φ = 708480.

The previous prime is 2128031. The next prime is 2128039. The reversal of 2128032 is 2308212.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1971216 + 156816 = 1404^2 + 396^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2127996 and 2128014.

It is not an unprimeable number, because it can be changed into a prime (2128031) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 2182 + ... + 3002.

22128032 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 2128032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133053).

2128032 is an abundant number, since it is smaller than the sum of its proper divisors (4138074).

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

2128032 is an equidigital number, since it uses as much as digits as its factorization.

2128032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2128032 is about 1458.7775704335. Note that the first 3 decimals coincide. The cubic root of 2128032 is about 128.6251965590.

It can be divided in two parts, 21280 and 32, that added together give a palindrome (21312).

The spelling of 2128032 in words is "two million, one hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 821 864 1296 1642 2463 2592 3284 4926 6568 7389 9852 13136 14778 19704 22167 26272 29556 39408 44334 59112 66501 78816 88668 118224 133002 177336 236448 266004 354672 532008 709344 1064016 2128032