Search a number
-
+
20932823520 = 253457317277
BaseRepresentation
bin10011011111101100…
…011000100111100000
32000000211210121120000
4103133230120213200
5320332300323040
613341051020000
71340510031000
oct233754304740
960024717500
1020932823520
118972040154
12408243a600
131c87a2450b
141028148000
15827acd130
hex4dfb189e0

20932823520 has 960 divisors, whose sum is σ = 91549180800. Its totient is φ = 4486938624.

The previous prime is 20932823497. The next prime is 20932823531. The reversal of 20932823520 is 2532823902.

20932823520 is a `hidden beast` number, since 2 + 0 + 93 + 28 + 23 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 75569622 + ... + 75569898.

It is an arithmetic number, because the mean of its divisors is an integer number (95363730).

Almost surely, 220932823520 is an apocalyptic number.

20932823520 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 20932823520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45774590400).

20932823520 is an abundant number, since it is smaller than the sum of its proper divisors (70616357280).

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

20932823520 is a wasteful number, since it uses less digits than its factorization.

20932823520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20932823520 in words is "twenty billion, nine hundred thirty-two million, eight hundred twenty-three thousand, five hundred twenty".