Search a number
-
+
5978016 = 2533111737
BaseRepresentation
bin10110110011011110100000
3102020201022000
4112303132200
53012244031
6332044000
7101545422
oct26633640
912221260
105978016
113413410
122003600
131313cb5
14b18812
157d13e6
hex5b37a0

5978016 has 192 divisors, whose sum is σ = 20684160. Its totient is φ = 1658880.

The previous prime is 5978003. The next prime is 5978047. The reversal of 5978016 is 6108795.

5978016 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161550 + ... + 161586.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 25978016 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 5978016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

5978016 is an abundant number, since it is smaller than the sum of its proper divisors (14706144).

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

5978016 is a wasteful number, since it uses less digits than its factorization.

5978016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5978016 is about 2444.9981595085. The cubic root of 5978016 is about 181.4898566833.

The spelling of 5978016 in words is "five million, nine hundred seventy-eight thousand, sixteen".