Search a number
-
+
5989000 = 235353113
BaseRepresentation
bin10110110110001010001000
3102021021100211
4112312022020
53013122000
6332210504
7101622433
oct26661210
912237324
105989000
113420696
122009a34
131318cb4
14b1c81a
157d47ba
hex5b6288

5989000 has 64 divisors (see below), whose sum is σ = 14405040. Its totient is φ = 2329600.

The previous prime is 5988991. The next prime is 5989001. The reversal of 5989000 is 9895.

It can be written as a sum of positive squares in 8 ways, for example, as 6084 + 5982916 = 78^2 + 2446^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5989001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52944 + ... + 53056.

Almost surely, 25989000 is an apocalyptic number.

5989000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5989000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202520).

5989000 is an abundant number, since it is smaller than the sum of its proper divisors (8416040).

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

5989000 is a wasteful number, since it uses less digits than its factorization.

5989000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 5989000 is about 2447.2433471153. The cubic root of 5989000 is about 181.6009450940.

The spelling of 5989000 in words is "five million, nine hundred eighty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 113 125 200 212 226 250 265 424 452 500 530 565 904 1000 1060 1130 1325 2120 2260 2650 2825 4520 5300 5650 5989 6625 10600 11300 11978 13250 14125 22600 23956 26500 28250 29945 47912 53000 56500 59890 113000 119780 149725 239560 299450 598900 748625 1197800 1497250 2994500 5989000