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21836136 = 2337592203
BaseRepresentation
bin101001101001…
…1000101101000
31112002101112210
41103103011220
521042224021
62100005120
7353414130
oct123230550
945071483
1021836136
11113648a3
1273907a0
1346a70ba
142c85ac0
151db4e76
hex14d3168

21836136 has 64 divisors (see below), whose sum is σ = 63475200. Its totient is φ = 6130368.

The previous prime is 21836123. The next prime is 21836147. The reversal of 21836136 is 63163812.

21836136 is a nontrivial binomial coefficient, being equal to C(6609, 2).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8811 + ... + 11013.

It is an arithmetic number, because the mean of its divisors is an integer number (991800).

Almost surely, 221836136 is an apocalyptic number.

21836136 is the 6608-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21836136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31737600).

21836136 is an abundant number, since it is smaller than the sum of its proper divisors (41639064).

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

21836136 is a wasteful number, since it uses less digits than its factorization.

21836136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2274 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 21836136 is about 4672.9151500964. The cubic root of 21836136 is about 279.5065117109.

Adding to 21836136 its reverse (63163812), we get a palindrome (84999948).

The spelling of 21836136 in words is "twenty-one million, eight hundred thirty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2203 2478 3304 4406 4956 6609 8812 9912 13218 15421 17624 26436 30842 46263 52872 61684 92526 123368 129977 185052 259954 370104 389931 519908 779862 909839 1039816 1559724 1819678 2729517 3119448 3639356 5459034 7278712 10918068 21836136