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20440332 = 22321171727
BaseRepresentation
bin100110111111…
…0010100001100
31102110110212100
41031332110030
520213042312
62010035100
7335511543
oct115762414
942413770
1020440332
11105a1140
126a18a90
134308993
142a0115a
151bdb5dc
hex137e50c

20440332 has 72 divisors (see below), whose sum is σ = 57238272. Its totient is φ = 6098400.

The previous prime is 20440319. The next prime is 20440337. The reversal of 20440332 is 23304402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20440337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27753 + ... + 28479.

It is an arithmetic number, because the mean of its divisors is an integer number (794976).

Almost surely, 220440332 is an apocalyptic number.

20440332 is a gapful number since it is divisible by the number (22) 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 20440332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28619136).

20440332 is an abundant number, since it is smaller than the sum of its proper divisors (36797940).

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

20440332 is a wasteful number, since it uses less digits than its factorization.

20440332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 20440332 is about 4521.0985390721. The cubic root of 20440332 is about 273.4193932195.

Adding to 20440332 its reverse (23304402), we get a palindrome (43744734).

The spelling of 20440332 in words is "twenty million, four hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 132 142 198 213 284 396 426 639 727 781 852 1278 1454 1562 2181 2343 2556 2908 3124 4362 4686 6543 7029 7997 8724 9372 13086 14058 15994 23991 26172 28116 31988 47982 51617 71973 95964 103234 143946 154851 206468 287892 309702 464553 567787 619404 929106 1135574 1703361 1858212 2271148 3406722 5110083 6813444 10220166 20440332