Search a number
-
+
5673396960 = 25325711192693
BaseRepresentation
bin1010100100010100…
…10010101011100000
3112122101111102112100
411102022102223200
543104342200320
62334544330400
7260410035630
oct52212225340
915571442470
105673396960
112451537120
121124013a00
136c551522a
143bb6b26c0
15233121790
hex152292ae0

5673396960 has 576 divisors, whose sum is σ = 25417566720. Its totient is φ = 1116426240.

The previous prime is 5673396943. The next prime is 5673396973. The reversal of 5673396960 is 696933765.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5673396897 and 5673396906.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2105374 + ... + 2108066.

It is an arithmetic number, because the mean of its divisors is an integer number (44127720).

Almost surely, 25673396960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5673396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12708783360).

5673396960 is an abundant number, since it is smaller than the sum of its proper divisors (19744169760).

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

5673396960 is a wasteful number, since it uses less digits than its factorization.

5673396960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The square root of 5673396960 is about 75321.9553649532. The cubic root of 5673396960 is about 1783.5326217053.

The spelling of 5673396960 in words is "five billion, six hundred seventy-three million, three hundred ninety-six thousand, nine hundred sixty".