Search a number
-
+
20581836 = 22311413803
BaseRepresentation
bin100111010000…
…0110111001100
31102201122222020
41032200313030
520232104321
62013050140
7336641232
oct116406714
942648866
1020581836
1110688490
126a86950
134358202
142a3a952
151c184c6
hex13a0dcc

20581836 has 48 divisors (see below), whose sum is σ = 53682048. Its totient is φ = 6083200.

The previous prime is 20581831. The next prime is 20581871. The reversal of 20581836 is 63818502.

It is a happy number.

It is a super-2 number, since 2×205818362 = 847223946261792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 20581797 and 20581806.

It is not an unprimeable number, because it can be changed into a prime (20581831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3511 + ... + 7313.

It is an arithmetic number, because the mean of its divisors is an integer number (1118376).

Almost surely, 220581836 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 20581836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26841024).

20581836 is an abundant number, since it is smaller than the sum of its proper divisors (33100212).

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

20581836 is a wasteful number, since it uses less digits than its factorization.

20581836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 20581836 is about 4536.7208421943. The cubic root of 20581836 is about 274.0488839558.

The spelling of 20581836 in words is "twenty million, five hundred eighty-one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 3803 5412 7606 11409 15212 22818 41833 45636 83666 125499 155923 167332 250998 311846 467769 501996 623692 935538 1715153 1871076 3430306 5145459 6860612 10290918 20581836