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21442770 = 2325892677
BaseRepresentation
bin101000111001…
…1000011010010
31111100101221200
41101303003102
520442132040
62043332030
7350155236
oct121630322
944311850
1021442770
11111162a8
127221016
13459a03b
142bc25c6
151d38630
hex14730d2

21442770 has 48 divisors (see below), whose sum is σ = 56398680. Its totient is φ = 5651712.

The previous prime is 21442753. The next prime is 21442777. The reversal of 21442770 is 7724412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7177041 + 14265729 = 2679^2 + 3777^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21442777) 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 23 ways as a sum of consecutive naturals, for example, 6672 + ... + 9348.

Almost surely, 221442770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21442770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28199340).

21442770 is an abundant number, since it is smaller than the sum of its proper divisors (34955910).

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

21442770 is a wasteful number, since it uses less digits than its factorization.

21442770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 21442770 is about 4630.6338658978. The cubic root of 21442770 is about 277.8179457764.

The spelling of 21442770 in words is "twenty-one million, four hundred forty-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 2677 4005 5354 8010 8031 13385 16062 24093 26770 40155 48186 80310 120465 238253 240930 476506 714759 1191265 1429518 2144277 2382530 3573795 4288554 7147590 10721385 21442770