Search a number
-
+
2483368020 = 2232573192973
BaseRepresentation
bin1001010000000101…
…0011000001010100
320102001220011111100
42110001103001110
520041220234040
61050231110100
7115353165000
oct22401230124
96361804440
102483368020
111064884171
12593812330
13307658043
14197b61700
15e8042b30
hex94053054

2483368020 has 576 divisors, whose sum is σ = 9696960000. Its totient is φ = 512096256.

The previous prime is 2483368009. The next prime is 2483368079. The reversal of 2483368020 is 208633842.

2483368020 is a `hidden beast` number, since 248 + 336 + 80 + 2 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 34018704 + ... + 34018776.

It is an arithmetic number, because the mean of its divisors is an integer number (16835000).

Almost surely, 22483368020 is an apocalyptic number.

2483368020 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 2483368020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848480000).

2483368020 is an abundant number, since it is smaller than the sum of its proper divisors (7213591980).

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

2483368020 is a wasteful number, since it uses less digits than its factorization.

2483368020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2483368020 is about 49833.4026532405. The cubic root of 2483368020 is about 1354.1923664877.

The spelling of 2483368020 in words is "two billion, four hundred eighty-three million, three hundred sixty-eight thousand, twenty".