Search a number
-
+
20436024 = 23371031181
BaseRepresentation
bin100110111110…
…1010000111000
31102110020221210
41031331100320
520212423044
62010003120
7335463150
oct115752070
942406853
1020436024
1110598984
126a164a0
134306a2b
1429dd760
151bda1b9
hex137d438

20436024 has 64 divisors (see below), whose sum is σ = 59005440. Its totient is φ = 5777280.

The previous prime is 20436019. The next prime is 20436041. The reversal of 20436024 is 42063402.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 16714 + ... + 17894.

It is an arithmetic number, because the mean of its divisors is an integer number (921960).

Almost surely, 220436024 is an apocalyptic number.

20436024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20436024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29502720).

20436024 is an abundant number, since it is smaller than the sum of its proper divisors (38569416).

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

20436024 is a wasteful number, since it uses less digits than its factorization.

20436024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 20436024 is about 4520.6220810857. The cubic root of 20436024 is about 273.4001832656.

Adding to 20436024 its reverse (42063402), we get a palindrome (62499426).

The spelling of 20436024 in words is "twenty million, four hundred thirty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 412 618 721 824 1181 1236 1442 2163 2362 2472 2884 3543 4326 4724 5768 7086 8267 8652 9448 14172 16534 17304 24801 28344 33068 49602 66136 99204 121643 198408 243286 364929 486572 729858 851501 973144 1459716 1703002 2554503 2919432 3406004 5109006 6812008 10218012 20436024