Search a number
-
+
21457728 = 263237253
BaseRepresentation
bin101000111011…
…0101101000000
31111101011110200
41101312231000
520443121403
62043525200
7350246655
oct121665500
944334420
1021457728
1111126566
127229800
1345a3aa6
142bc7c2c
151d3cca3
hex1476b40

21457728 has 42 divisors (see below), whose sum is σ = 61506354. Its totient is φ = 7152384.

The previous prime is 21457727. The next prime is 21457747. The reversal of 21457728 is 82775412.

It can be written as a sum of positive squares in only one way, i.e., 21455424 + 2304 = 4632^2 + 48^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21457692 and 21457701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21457721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18051 + ... + 19202.

It is an arithmetic number, because the mean of its divisors is an integer number (1464437).

Almost surely, 221457728 is an apocalyptic number.

It is an amenable number.

21457728 is an abundant number, since it is smaller than the sum of its proper divisors (40048626).

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

21457728 is a wasteful number, since it uses less digits than its factorization.

21457728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37271 (or 37258 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 21457728 is about 4632.2486979868. The cubic root of 21457728 is about 277.8825306368.

The spelling of 21457728 in words is "twenty-one million, four hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 37253 74506 111759 149012 223518 298024 335277 447036 596048 670554 894072 1192096 1341108 1788144 2384192 2682216 3576288 5364432 7152576 10728864 21457728