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20312136 = 23321321701
BaseRepresentation
bin100110101111…
…1000001001000
31102012222000100
41031133001020
520144442021
62003205400
7334436025
oct115370110
942188010
1020312136
1110513899
126976860
134292520
1429aa54c
151bb3626
hex135f048

20312136 has 48 divisors (see below), whose sum is σ = 59246460. Its totient is φ = 6249600.

The previous prime is 20312113. The next prime is 20312137. The reversal of 20312136 is 63121302.

It can be written as a sum of positive squares in 2 ways, for example, as 20304036 + 8100 = 4506^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20312137) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9915 + ... + 11786.

Almost surely, 220312136 is an apocalyptic number.

20312136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20312136 is an abundant number, since it is smaller than the sum of its proper divisors (38934324).

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

20312136 is a wasteful number, since it uses less digits than its factorization.

20312136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21726 (or 21719 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20312136 is about 4506.8987119748. The cubic root of 20312136 is about 272.8465909422.

Adding to 20312136 its reverse (63121302), we get a palindrome (83433438).

The spelling of 20312136 in words is "twenty million, three hundred twelve thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 21701 43402 65103 86804 130206 173608 195309 260412 282113 390618 520824 564226 781236 846339 1128452 1562472 1692678 2256904 2539017 3385356 5078034 6770712 10156068 20312136