Search a number
-
+
4309133920 = 255713319547
BaseRepresentation
bin1000000001101100…
…00010101001100000
3102010022101200110121
410000312002221200
532311114241140
61551331410024
7211533014440
oct40066025140
912108350417
104309133920
111911437103
12a03153914
13538999ab0
142cc424120
151a348a64a
hex100d82a60

4309133920 has 192 divisors, whose sum is σ = 12935172096. Its totient is φ = 1319639040.

The previous prime is 4309133909. The next prime is 4309133929. The reversal of 4309133920 is 293319034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4309133929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446587 + ... + 456133.

It is an arithmetic number, because the mean of its divisors is an integer number (67370688).

Almost surely, 24309133920 is an apocalyptic number.

4309133920 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 4309133920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467586048).

4309133920 is an abundant number, since it is smaller than the sum of its proper divisors (8626038176).

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

4309133920 is a wasteful number, since it uses less digits than its factorization.

4309133920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9613 (or 9605 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 4309133920 is about 65643.9937846563. The cubic root of 4309133920 is about 1627.2839105490.

The spelling of 4309133920 in words is "four billion, three hundred nine million, one hundred thirty-three thousand, nine hundred twenty".