Search a number
-
+
4690870080 = 263513409919
BaseRepresentation
bin1000101111001100…
…01111111101000000
3110002220200220000220
410113212033331000
534101330320310
62053245343040
7224146511031
oct42746177500
913086626026
104690870080
111a97968136
12aaab67a80
13599ab5290
14326dd2a88
151c6c42670
hex11798ff40

4690870080 has 224 divisors, whose sum is σ = 16095878400. Its totient is φ = 1150599168.

The previous prime is 4690870057. The next prime is 4690870087. The reversal of 4690870080 is 800780964.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4690870087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5103861 + ... + 5104779.

It is an arithmetic number, because the mean of its divisors is an integer number (71856600).

Almost surely, 24690870080 is an apocalyptic number.

4690870080 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 4690870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8047939200).

4690870080 is an abundant number, since it is smaller than the sum of its proper divisors (11405008320).

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

4690870080 is a wasteful number, since it uses less digits than its factorization.

4690870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 4690870080 is about 68489.9268505961. The cubic root of 4690870080 is about 1673.9833533657.

The spelling of 4690870080 in words is "four billion, six hundred ninety million, eight hundred seventy thousand, eighty".