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20436136 = 2372371409
BaseRepresentation
bin100110111110…
…1010010101000
31102110021002221
41031331102220
520212424021
62010003424
7335463400
oct115752250
942407087
1020436136
1110598a76
126a16574
134306ab6
1429dd800
151bda241
hex137d4a8

20436136 has 48 divisors (see below), whose sum is σ = 45810900. Its totient is φ = 8515584.

The previous prime is 20436133. The next prime is 20436151. The reversal of 20436136 is 63163402.

It can be written as a sum of positive squares in 2 ways, for example, as 20196036 + 240100 = 4494^2 + 490^2 .

It is a super-2 number, since 2×204361362 = 835271309220992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20436136.

It is not an unprimeable number, because it can be changed into a prime (20436133) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13800 + ... + 15208.

Almost surely, 220436136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20436136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22905450).

20436136 is an abundant number, since it is smaller than the sum of its proper divisors (25374764).

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

20436136 is a wasteful number, since it uses less digits than its factorization.

20436136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 20436136 is about 4520.6344687444. The cubic root of 20436136 is about 273.4006827229.

Adding to 20436136 its reverse (63163402), we get a palindrome (83599538).

The spelling of 20436136 in words is "twenty million, four hundred thirty-six thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 1036 1409 1813 2072 2818 3626 5636 7252 9863 11272 14504 19726 39452 52133 69041 78904 104266 138082 208532 276164 364931 417064 552328 729862 1459724 2554517 2919448 5109034 10218068 20436136