Search a number
-
+
2149238784 = 21137211259
BaseRepresentation
bin1000000000011010…
…1100100000000000
312112210011122100110
42000012230200000
513400201120114
6553133351320
7104155141200
oct20006544000
95483148313
102149238784
11a03209a00
124bb938540
1328336a934
14165626400
15c8a41759
hex801ac800

2149238784 has 432 divisors, whose sum is σ = 7450606800. Its totient is φ = 548782080.

The previous prime is 2149238779. The next prime is 2149238801. The reversal of 2149238784 is 4878329412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36427747 + ... + 36427805.

It is an arithmetic number, because the mean of its divisors is an integer number (17246775).

Almost surely, 22149238784 is an apocalyptic number.

2149238784 is a gapful number since it is divisible by the number (24) 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 2149238784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725303400).

2149238784 is an abundant number, since it is smaller than the sum of its proper divisors (5301368016).

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

2149238784 is a wasteful number, since it uses less digits than its factorization.

2149238784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 82 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 2149238784 is about 46359.8833475668. The cubic root of 2149238784 is about 1290.5105412620.

The spelling of 2149238784 in words is "two billion, one hundred forty-nine million, two hundred thirty-eight thousand, seven hundred eighty-four".