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20812032 = 28333011
BaseRepresentation
bin100111101100…
…1000100000000
31110011100202000
41033121010000
520311441112
62022024000
7341620323
oct117310400
943140660
1020812032
111082542a
126b78000
134408c17
142a9a7ba
151c617dc
hex13d9100

20812032 has 72 divisors (see below), whose sum is σ = 61565280. Its totient is φ = 6935040.

The previous prime is 20812021. The next prime is 20812039. The reversal of 20812032 is 23021802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 20811996 and 20812014.

It is not an unprimeable number, because it can be changed into a prime (20812039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5407 + ... + 8417.

Almost surely, 220812032 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 20812032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30782640).

20812032 is an abundant number, since it is smaller than the sum of its proper divisors (40753248).

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

20812032 is an equidigital number, since it uses as much as digits as its factorization.

20812032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20812032 is about 4562.0206049513. The cubic root of 20812032 is about 275.0667914900.

Adding to 20812032 its reverse (23021802), we get a palindrome (43833834).

The spelling of 20812032 in words is "twenty million, eight hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3011 3456 6022 6912 9033 12044 18066 24088 27099 36132 48176 54198 72264 81297 96352 108396 144528 162594 192704 216792 289056 325188 385408 433584 578112 650376 770816 867168 1156224 1300752 1734336 2312448 2601504 3468672 5203008 6937344 10406016 20812032