Search a number
-
+
21142528 = 210111877
BaseRepresentation
bin101000010100…
…1110000000000
31110210011002121
41100221300000
520403030103
62033054024
7344465011
oct120516000
943704077
1021142528
1110a30770
1270b7314
1344c3494
142b45008
151cc96bd
hex1429c00

21142528 has 44 divisors (see below), whose sum is σ = 46131192. Its totient is φ = 9605120.

The previous prime is 21142493. The next prime is 21142529. The reversal of 21142528 is 82524112.

It is a tau number, because it is divible by the number of its divisors (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142529) 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, 10326 + ... + 12202.

Almost surely, 221142528 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 21142528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23065596).

21142528 is an abundant number, since it is smaller than the sum of its proper divisors (24988664).

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

21142528 is a wasteful number, since it uses less digits than its factorization.

21142528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1890 counting only the distinct ones).

The product of its digits is 1280, while the sum is 25.

The square root of 21142528 is about 4598.1004773711. The cubic root of 21142528 is about 276.5151758514.

The spelling of 21142528 in words is "twenty-one million, one hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 1877 2816 3754 5632 7508 11264 15016 20647 30032 41294 60064 82588 120128 165176 240256 330352 480512 660704 961024 1321408 1922048 2642816 5285632 10571264 21142528