Search a number
-
+
20403043020 = 2235573131439
BaseRepresentation
bin10011000000000111…
…011011101011001100
31221122220220222100000
4103000013123223030
5313241134334040
613212324004300
71321415001303
oct230007335314
957586828300
1020403043020
11871aa93228
123b54b30690
131c02043329
14db7a3d43a
157e6331130
hex4c01dbacc

20403043020 has 288 divisors, whose sum is σ = 65706600960. Its totient is φ = 5313185280.

The previous prime is 20403043019. The next prime is 20403043103. The reversal of 20403043020 is 2034030402.

20403043020 is a `hidden beast` number, since 20 + 40 + 304 + 302 + 0 = 666.

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 = 20403042984 and 20403043002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46475961 + ... + 46476399.

It is an arithmetic number, because the mean of its divisors is an integer number (228147920).

Almost surely, 220403043020 is an apocalyptic number.

20403043020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20403043020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32853300480).

20403043020 is an abundant number, since it is smaller than the sum of its proper divisors (45303557940).

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

20403043020 is a wasteful number, since it uses less digits than its factorization.

20403043020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20403043020 its reverse (2034030402), we get a palindrome (22437073422).

The spelling of 20403043020 in words is "twenty billion, four hundred three million, forty-three thousand, twenty".