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2126032 = 24891493
BaseRepresentation
bin1000000111000011010000
311000000100221
420013003100
51021013112
6113322424
724033226
oct10070320
94000327
102126032
111222357
12866414
1359590c
143d4b16
152bee07
hex2070d0

2126032 has 20 divisors (see below), whose sum is σ = 4168260. Its totient is φ = 1050368.

The previous prime is 2126029. The next prime is 2126039. The reversal of 2126032 is 2306212.

It can be written as a sum of positive squares in 2 ways, for example, as 1157776 + 968256 = 1076^2 + 984^2 .

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

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 2125997 and 2126015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126039) 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 3 ways as a sum of consecutive naturals, for example, 678 + ... + 2170.

It is an arithmetic number, because the mean of its divisors is an integer number (208413).

22126032 is an apocalyptic number.

It is an amenable number.

2126032 is a deficient number, since it is larger than the sum of its proper divisors (2042228).

2126032 is a wasteful number, since it uses less digits than its factorization.

2126032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2126032 is about 1458.0919038250. The cubic root of 2126032 is about 128.5848884204.

The spelling of 2126032 in words is "two million, one hundred twenty-six thousand, thirty-two".

Divisors: 1 2 4 8 16 89 178 356 712 1424 1493 2986 5972 11944 23888 132877 265754 531508 1063016 2126032