Search a number
-
+
20300032 = 28179443
BaseRepresentation
bin100110101110…
…0000100000000
31102012100102001
41031130010000
520144100112
62003033344
7334355524
oct115340400
942170361
1020300032
1110505795
12696b854
134289b6c
1429a5d84
151baec57
hex135c100

20300032 has 36 divisors (see below), whose sum is σ = 40839120. Its totient is φ = 10070528.

The previous prime is 20300017. The next prime is 20300039. The reversal of 20300032 is 23000302.

It is a junction number, because it is equal to n+sod(n) for n = 20299991 and 20300018.

It is not an unprimeable number, because it can be changed into a prime (20300039) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45603 + ... + 46045.

It is an arithmetic number, because the mean of its divisors is an integer number (1134420).

Almost surely, 220300032 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 20300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20419560).

20300032 is an abundant number, since it is smaller than the sum of its proper divisors (20539088).

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

20300032 is an equidigital number, since it uses as much as digits as its factorization.

20300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 20300032 is about 4505.5556816002. Note that the first 3 decimals coincide. The cubic root of 20300032 is about 272.7923837538.

Adding to 20300032 its reverse (23000302), we get a palindrome (43300334).

The spelling of 20300032 in words is "twenty million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 179 256 358 443 716 886 1432 1772 2864 3544 5728 7088 11456 14176 22912 28352 45824 56704 79297 113408 158594 317188 634376 1268752 2537504 5075008 10150016 20300032