Search a number
-
+
5058320 = 245531193
BaseRepresentation
bin10011010010111100010000
3100111222201012
4103102330100
52243331240
6300230052
760665201
oct23227420
910458635
105058320
112945433
12183b328
1310814b7
149595a8
1569db65
hex4d2f10

5058320 has 40 divisors (see below), whose sum is σ = 11992536. Its totient is φ = 1983488.

The previous prime is 5058311. The next prime is 5058323. The reversal of 5058320 is 238505.

It can be written as a sum of positive squares in 4 ways, for example, as 929296 + 4129024 = 964^2 + 2032^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (5058323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3644 + ... + 4836.

Almost surely, 25058320 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 5058320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996268).

5058320 is an abundant number, since it is smaller than the sum of its proper divisors (6934216).

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

5058320 is a wasteful number, since it uses less digits than its factorization.

5058320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 5058320 is about 2249.0709192909. The cubic root of 5058320 is about 171.6598650440.

The spelling of 5058320 in words is "five million, fifty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 1193 2120 2386 4240 4772 5965 9544 11930 19088 23860 47720 63229 95440 126458 252916 316145 505832 632290 1011664 1264580 2529160 5058320