Search a number
-
+
20412342 = 23217411627
BaseRepresentation
bin100110111011…
…1011110110110
31102102001110200
41031313132312
520211143332
62005301330
7335334126
oct115673666
942361420
1020412342
1110582105
126a04846
1342c9012
1429d4c86
151bd317c
hex13777b6

20412342 has 48 divisors (see below), whose sum is σ = 47999952. Its totient is φ = 6243840.

The previous prime is 20412319. The next prime is 20412349. The reversal of 20412342 is 24321402.

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 (20412349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11733 + ... + 13359.

It is an arithmetic number, because the mean of its divisors is an integer number (999999).

Almost surely, 220412342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20412342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23999976).

20412342 is an abundant number, since it is smaller than the sum of its proper divisors (27587610).

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

20412342 is a wasteful number, since it uses less digits than its factorization.

20412342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20412342 is about 4518.0019920314. The cubic root of 20412342 is about 273.2945337881.

Subtracting from 20412342 its sum of digits (18), we obtain a square (20412324 = 45182).

Adding to 20412342 its reverse (24321402), we get a palindrome (44733744).

The spelling of 20412342 in words is "twenty million, four hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 246 306 369 697 738 1394 1627 2091 3254 4182 4881 6273 9762 12546 14643 27659 29286 55318 66707 82977 133414 165954 200121 248931 400242 497862 600363 1134019 1200726 2268038 3402057 6804114 10206171 20412342