Search a number
-
+
5997520 = 245611229
BaseRepresentation
bin10110111000001111010000
3102021201001101
4112320033100
53013410040
6332314144
7101656324
oct26701720
912251041
105997520
113427031
122012954
13131cb39
14b21984
157d709a
hex5b83d0

5997520 has 40 divisors (see below), whose sum is σ = 14184360. Its totient is φ = 2357760.

The previous prime is 5997517. The next prime is 5997553. The reversal of 5997520 is 257995.

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 5271616 = 852^2 + 2296^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5997520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4266 + ... + 5494.

It is an arithmetic number, because the mean of its divisors is an integer number (354609).

Almost surely, 25997520 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 5997520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092180).

5997520 is an abundant number, since it is smaller than the sum of its proper divisors (8186840).

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

5997520 is a wasteful number, since it uses less digits than its factorization.

5997520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 37.

The square root of 5997520 is about 2448.9834625820. The cubic root of 5997520 is about 181.6870199493.

It can be divided in two parts, 59975 and 20, that added together give a palindrome (59995).

The spelling of 5997520 in words is "five million, nine hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 1229 2440 2458 4880 4916 6145 9832 12290 19664 24580 49160 74969 98320 149938 299876 374845 599752 749690 1199504 1499380 2998760 5997520