Search a number
-
+
5129280 = 2632513137
BaseRepresentation
bin10011100100010001000000
3100122121001100
4103210101000
52303114110
6301534400
761412112
oct23442100
910577040
105129280
112993782
121874400
1310a78a0
149773b2
156b4bc0
hex4e4440

5129280 has 168 divisors, whose sum is σ = 19138392. Its totient is φ = 1253376.

The previous prime is 5129279. The next prime is 5129303. The reversal of 5129280 is 829215.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 4981824 = 384^2 + 2232^2 .

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 23 ways as a sum of consecutive naturals, for example, 37372 + ... + 37508.

It is an arithmetic number, because the mean of its divisors is an integer number (113919).

Almost surely, 25129280 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 5129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9569196).

5129280 is an abundant number, since it is smaller than the sum of its proper divisors (14009112).

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

5129280 is a wasteful number, since it uses less digits than its factorization.

5129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5129280 is about 2264.7913811210. The cubic root of 5129280 is about 172.4588433634.

The spelling of 5129280 in words is "five million, one hundred twenty-nine thousand, two hundred eighty".