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21236742 = 235371181
BaseRepresentation
bin101000100000…
…0110000000110
31110221221100000
41101000300012
520414033432
62035102130
7345336462
oct121006006
943857300
1021236742
1110a9552a
127141946
134527327
142b6b4a2
151ce757c
hex1440c06

21236742 has 48 divisors (see below), whose sum is σ = 49048272. Its totient is φ = 6881760.

The previous prime is 21236731. The next prime is 21236749. The reversal of 21236742 is 24763212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21236749) 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 23 ways as a sum of consecutive naturals, for example, 17392 + ... + 18572.

It is an arithmetic number, because the mean of its divisors is an integer number (1021839).

Almost surely, 221236742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21236742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24524136).

21236742 is an abundant number, since it is smaller than the sum of its proper divisors (27811530).

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

21236742 is a wasteful number, since it uses less digits than its factorization.

21236742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1223 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 21236742 is about 4608.3339722724. Note that the first 3 decimals coincide. The cubic root of 21236742 is about 276.9252970976.

Adding to 21236742 its reverse (24763212), we get a palindrome (45999954).

The spelling of 21236742 in words is "twenty-one million, two hundred thirty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 999 1181 1998 2362 2997 3543 5994 7086 8991 10629 17982 21258 31887 43697 63774 87394 95661 131091 191322 262182 286983 393273 573966 786546 1179819 2359638 3539457 7078914 10618371 21236742