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20322126 = 23211197521
BaseRepresentation
bin100110110000…
…1011101001110
31102020110201100
41031201131032
520200302001
62003323530
7334510116
oct115413516
942213640
1020322126
1110520350
1269805a6
134296c36
1429b0046
151bb6586
hex136174e

20322126 has 48 divisors (see below), whose sum is σ = 48370608. Its totient is φ = 6115200.

The previous prime is 20322119. The next prime is 20322131. The reversal of 20322126 is 62122302.

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

It is a junction number, because it is equal to n+sod(n) for n = 20322099 and 20322108.

It is a congruent number.

It is an unprimeable number.

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, 38746 + ... + 39266.

It is an arithmetic number, because the mean of its divisors is an integer number (1007721).

Almost surely, 220322126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20322126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24185304).

20322126 is an abundant number, since it is smaller than the sum of its proper divisors (28048482).

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

20322126 is a wasteful number, since it uses less digits than its factorization.

20322126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20322126 is about 4508.0068766585. The cubic root of 20322126 is about 272.8913144629.

Adding to 20322126 its reverse (62122302), we get a palindrome (82444428).

The spelling of 20322126 in words is "twenty million, three hundred twenty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 197 198 394 521 591 1042 1182 1563 1773 2167 3126 3546 4334 4689 5731 6501 9378 11462 13002 17193 19503 34386 39006 51579 102637 103158 205274 307911 615822 923733 1129007 1847466 2258014 3387021 6774042 10161063 20322126