Search a number
-
+
9783380880 = 2434571347353
BaseRepresentation
bin10010001110010001…
…01000101110010000
3221020211011020120000
421013020220232100
5130014021142010
64254443450000
7464304236220
oct110710505620
927224136500
109783380880
114170510949
121a90526900
13bcbb64890
1468b496080
153c3d6e7c0
hex247228b90

9783380880 has 800 divisors, whose sum is σ = 42831258624. Its totient is φ = 2014543872.

The previous prime is 9783380851. The next prime is 9783380891. The reversal of 9783380880 is 880833879.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 27714784 + ... + 27715136.

Almost surely, 29783380880 is an apocalyptic number.

9783380880 is a gapful number since it is divisible by the number (90) 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 9783380880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21415629312).

9783380880 is an abundant number, since it is smaller than the sum of its proper divisors (33047877744).

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

9783380880 is a wasteful number, since it uses less digits than its factorization.

9783380880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 9783380880 is about 98910.9745174922. The cubic root of 9783380880 is about 2138.7645997899.

The spelling of 9783380880 in words is "nine billion, seven hundred eighty-three million, three hundred eighty thousand, eight hundred eighty".