Search a number
-
+
4820014080 = 210335717293
BaseRepresentation
bin1000111110100101…
…11001010000000000
3110102220201002022000
410133102321100000
534332410422310
62114141344000
7230305305120
oct43722712000
913386632260
104820014080
112053854a12
12b26268000
135ba79124b
1433a20cc80
151d32524c0
hex11f4b9400

4820014080 has 704 divisors, whose sum is σ = 20798830080. Its totient is φ = 1033371648.

The previous prime is 4820014009. The next prime is 4820014081. The reversal of 4820014080 is 804100284.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4820014081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16450414 + ... + 16450706.

Almost surely, 24820014080 is an apocalyptic number.

4820014080 is a gapful number since it is divisible by the number (40) 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 4820014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10399415040).

4820014080 is an abundant number, since it is smaller than the sum of its proper divisors (15978816000).

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

4820014080 is a wasteful number, since it uses less digits than its factorization.

4820014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4820014080 is about 69426.3212333766. The cubic root of 4820014080 is about 1689.2065974578.

The spelling of 4820014080 in words is "four billion, eight hundred twenty million, fourteen thousand, eighty".