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5131300 = 225223297
BaseRepresentation
bin10011100100110000100100
3100122200211011
4103210300210
52303200200
6301552004
761421026
oct23446044
910580734
105131300
112995249
121875604
1310a8795
14978016
156b55ba
hex4e4c24

5131300 has 54 divisors (see below), whose sum is σ = 11760098. Its totient is φ = 1943040.

The previous prime is 5131283. The next prime is 5131307. The reversal of 5131300 is 31315.

It can be written as a sum of positive squares in 3 ways, for example, as 256036 + 4875264 = 506^2 + 2208^2 .

It is not an unprimeable number, because it can be changed into a prime (5131307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52852 + ... + 52948.

Almost surely, 25131300 is an apocalyptic number.

5131300 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 5131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5880049).

5131300 is an abundant number, since it is smaller than the sum of its proper divisors (6628798).

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

5131300 is a wasteful number, since it uses less digits than its factorization.

5131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 5131300 is about 2265.2372944131. The cubic root of 5131300 is about 172.4814794931.

Adding to 5131300 its reverse (31315), we get a palindrome (5162615).

The spelling of 5131300 in words is "five million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 97 100 115 194 230 388 460 485 529 575 970 1058 1150 1940 2116 2231 2300 2425 2645 4462 4850 5290 8924 9700 10580 11155 13225 22310 26450 44620 51313 52900 55775 102626 111550 205252 223100 256565 513130 1026260 1282825 2565650 5131300