Search a number
-
+
3831138720 = 2532519314517
BaseRepresentation
bin1110010001011010…
…1000100110100000
3100212222222000022200
43210112220212200
530321232414340
61432054333200
7163640066433
oct34426504640
910788860280
103831138720
11169663a252
128ab05a200
1349094a7b6
14284b5981a
1517651c330
hexe45a89a0

3831138720 has 288 divisors, whose sum is σ = 14208929280. Its totient is φ = 936437760.

The previous prime is 3831138719. The next prime is 3831138721. The reversal of 3831138720 is 278311383.

It is an interprime number because it is at equal distance from previous prime (3831138719) and next prime (3831138721).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (3831138721) 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 47 ways as a sum of consecutive naturals, for example, 845902 + ... + 850418.

It is an arithmetic number, because the mean of its divisors is an integer number (49336560).

Almost surely, 23831138720 is an apocalyptic number.

3831138720 is a gapful number since it is divisible by the number (30) 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 3831138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7104464640).

3831138720 is an abundant number, since it is smaller than the sum of its proper divisors (10377790560).

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

3831138720 is a wasteful number, since it uses less digits than its factorization.

3831138720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4588 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3831138720 is about 61896.1930977988. The cubic root of 3831138720 is about 1564.7415892106.

The spelling of 3831138720 in words is "three billion, eight hundred thirty-one million, one hundred thirty-eight thousand, seven hundred twenty".