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20142342 = 23211234423
BaseRepresentation
bin100110011010…
…1100100000110
31101220100002200
41030311210012
520124023332
61555415330
7333131013
oct114654406
941810080
1020142342
1110408270
1268b4546
13423315c
14296470a
151b7d17c
hex1335906

20142342 has 48 divisors (see below), whose sum is σ = 49690368. Its totient is φ = 5837040.

The previous prime is 20142323. The next prime is 20142347. The reversal of 20142342 is 24324102.

20142342 is a `hidden beast` number, since 201 + 423 + 42 = 666.

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 (20142347) 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, 2343 + ... + 6765.

It is an arithmetic number, because the mean of its divisors is an integer number (1035216).

Almost surely, 220142342 is an apocalyptic number.

20142342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20142342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24845184).

20142342 is an abundant number, since it is smaller than the sum of its proper divisors (29548026).

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

20142342 is a wasteful number, since it uses less digits than its factorization.

20142342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4462 counting only the distinct ones).

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

The square root of 20142342 is about 4488.0220587693. The cubic root of 20142342 is about 272.0841993510.

Adding to 20142342 its reverse (24324102), we get a palindrome (44466444).

It can be divided in two parts, 2014 and 2342, that added together give a square (4356 = 662).

The spelling of 20142342 in words is "twenty million, one hundred forty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4423 4554 8846 13269 26538 39807 48653 79614 97306 101729 145959 203458 291918 305187 437877 610374 875754 915561 1119019 1831122 2238038 3357057 6714114 10071171 20142342