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2133024 = 253171307
BaseRepresentation
bin1000001000110000100000
311000100221220
420020300200
51021224044
6113415040
724062505
oct10106040
94010856
102133024
111227633
1286a480
13598b5a
143d74ac
152c2019
hex208c20

2133024 has 48 divisors (see below), whose sum is σ = 5933088. Its totient is φ = 668672.

The previous prime is 2133023. The next prime is 2133029. The reversal of 2133024 is 4203312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2132994 and 2133012.

It is not an unprimeable number, because it can be changed into a prime (2133023) 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 7 ways as a sum of consecutive naturals, for example, 979 + ... + 2285.

It is an arithmetic number, because the mean of its divisors is an integer number (123606).

22133024 is an apocalyptic number.

2133024 is a gapful number since it is divisible by the number (24) 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 2133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966544).

2133024 is an abundant number, since it is smaller than the sum of its proper divisors (3800064).

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

2133024 is a wasteful number, since it uses less digits than its factorization.

2133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2133024 is about 1460.4875898138. The cubic root of 2133024 is about 128.7256956040.

Adding to 2133024 its reverse (4203312), we get a palindrome (6336336).

The spelling of 2133024 in words is "two million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1307 1632 2614 3921 5228 7842 10456 15684 20912 22219 31368 41824 44438 62736 66657 88876 125472 133314 177752 266628 355504 533256 711008 1066512 2133024