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20506434 = 231319101137
BaseRepresentation
bin100111000111…
…0011101000010
31102120211112120
41032032131002
520222201214
62011305110
7336205344
oct116163502
942524476
1020506434
1110636873
126a4b196
13432cab0
142a1b294
151c00ea9
hex138e742

20506434 has 64 divisors (see below), whose sum is σ = 47295360. Its totient is φ = 5875200.

The previous prime is 20506427. The next prime is 20506441. The reversal of 20506434 is 43460502.

It is an interprime number because it is at equal distance from previous prime (20506427) and next prime (20506441).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149614 + ... + 149750.

It is an arithmetic number, because the mean of its divisors is an integer number (738990).

Almost surely, 220506434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20506434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23647680).

20506434 is an abundant number, since it is smaller than the sum of its proper divisors (26788926).

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

20506434 is a wasteful number, since it uses less digits than its factorization.

20506434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 20506434 is about 4528.4030297667. The cubic root of 20506434 is about 273.7138131104.

Adding to 20506434 its reverse (43460502), we get a palindrome (63966936).

The spelling of 20506434 in words is "twenty million, five hundred six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 101 114 137 202 247 274 303 411 494 606 741 822 1313 1482 1781 1919 2603 2626 3562 3838 3939 5206 5343 5757 7809 7878 10686 11514 13837 15618 24947 27674 33839 41511 49894 67678 74841 83022 101517 149682 179881 203034 262903 359762 525806 539643 788709 1079286 1577418 3417739 6835478 10253217 20506434