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20420442 = 2327433769
BaseRepresentation
bin100110111100…
…1011101011010
31102102110120200
41031321131122
520211423232
62005403030
7335366550
oct115713532
942373520
1020420442
11105881a9
126a09476
1342cc903
1429d7bd0
151bd577c
hex137975a

20420442 has 48 divisors (see below), whose sum is σ = 51754560. Its totient is φ = 5697216.

The previous prime is 20420377. The next prime is 20420443. The reversal of 20420442 is 24402402.

20420442 is a `hidden beast` number, since 204 + 20 + 442 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20420443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3534 + ... + 7302.

It is an arithmetic number, because the mean of its divisors is an integer number (1078220).

Almost surely, 220420442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20420442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25877280).

20420442 is an abundant number, since it is smaller than the sum of its proper divisors (31334118).

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

20420442 is a wasteful number, since it uses less digits than its factorization.

20420442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 20420442 is about 4518.8983170680. The cubic root of 20420442 is about 273.3306784725.

Adding to 20420442 its reverse (24402402), we get a palindrome (44822844).

The spelling of 20420442 in words is "twenty million, four hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2709 3769 5418 7538 11307 22614 26383 33921 52766 67842 79149 158298 162067 237447 324134 474894 486201 972402 1134469 1458603 2268938 2917206 3403407 6806814 10210221 20420442