Search a number
-
+
3134505120 = 253579131631
BaseRepresentation
bin1011101011010100…
…1100000010100000
322002110010100200020
42322311030002200
522404413130440
61235011153440
7140450565615
oct27265140240
98073110606
103134505120
11136938a0aa
127358a5880
133ac519776
1421a41a50c
151352b23d0
hexbad4c0a0

3134505120 has 192 divisors, whose sum is σ = 10090967040. Its totient is φ = 817689600.

The previous prime is 3134505083. The next prime is 3134505137. The reversal of 3134505120 is 215054313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4967205 + ... + 4967835.

It is an arithmetic number, because the mean of its divisors is an integer number (52557120).

Almost surely, 23134505120 is an apocalyptic number.

3134505120 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 3134505120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045483520).

3134505120 is an abundant number, since it is smaller than the sum of its proper divisors (6956461920).

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

3134505120 is a wasteful number, since it uses less digits than its factorization.

3134505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 3134505120 is about 55986.6512661724. The cubic root of 3134505120 is about 1463.4896695390.

Adding to 3134505120 its reverse (215054313), we get a palindrome (3349559433).

The spelling of 3134505120 in words is "three billion, one hundred thirty-four million, five hundred five thousand, one hundred twenty".