Search a number
-
+
3000147696 = 2432721332707
BaseRepresentation
bin1011001011010010…
…1001111011110000
321202002022021221100
42302310221323300
522121014211241
61213411324400
7134226556200
oct26264517360
97662267840
103000147696
1112aa561407
126b88b0700
1338a736830
14206644400
151285c29b6
hexb2d29ef0

3000147696 has 180 divisors, whose sum is σ = 10518696552. Its totient is φ = 791223552.

The previous prime is 3000147691. The next prime is 3000147707. The reversal of 3000147696 is 6967410003.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3000147696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000147691) 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 35 ways as a sum of consecutive naturals, for example, 75375 + ... + 108081.

Almost surely, 23000147696 is an apocalyptic number.

3000147696 is a gapful number since it is divisible by the number (36) 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 3000147696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259348276).

3000147696 is an abundant number, since it is smaller than the sum of its proper divisors (7518548856).

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

3000147696 is a wasteful number, since it uses less digits than its factorization.

3000147696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32748 (or 32732 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3000147696 is about 54773.6040077700. The cubic root of 3000147696 is about 1442.2732381960.

Adding to 3000147696 its reverse (6967410003), we get a palindrome (9967557699).

The spelling of 3000147696 in words is "three billion, one hundred forty-seven thousand, six hundred ninety-six".