Search a number
-
+
5331300 = 22352131367
BaseRepresentation
bin10100010101100101100100
3101000212011120
4110111211210
52331100200
6310133540
763213102
oct24254544
911025146
105331300
113011537
1219512b0
131148820
149cac72
157049a0
hex515964

5331300 has 72 divisors (see below), whose sum is σ = 16623936. Its totient is φ = 1311360.

The previous prime is 5331259. The next prime is 5331317. The reversal of 5331300 is 31335.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5331300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3217 + ... + 4583.

It is an arithmetic number, because the mean of its divisors is an integer number (230888).

Almost surely, 25331300 is an apocalyptic number.

5331300 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 5331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311968).

5331300 is an abundant number, since it is smaller than the sum of its proper divisors (11292636).

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

5331300 is a wasteful number, since it uses less digits than its factorization.

5331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 5331300 is about 2308.9608052109. The cubic root of 5331300 is about 174.6938866215.

Adding to 5331300 its reverse (31335), we get a palindrome (5362635).

The spelling of 5331300 in words is "five million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1367 1950 2734 3900 4101 5468 6835 8202 13670 16404 17771 20505 27340 34175 35542 41010 53313 68350 71084 82020 88855 102525 106626 136700 177710 205050 213252 266565 355420 410100 444275 533130 888550 1066260 1332825 1777100 2665650 5331300