Search a number
-
+
6031400 = 235253569
BaseRepresentation
bin10111000000100000101000
3102100102112012
4113000200220
53021001100
6333135052
7102160154
oct27004050
912312465
106031400
11344a531
12202a488
13133239b
14b30064
157e2135
hex5c0828

6031400 has 48 divisors (see below), whose sum is σ = 14312700. Its totient is φ = 2362880.

The previous prime is 6031339. The next prime is 6031409. The reversal of 6031400 is 41306.

It can be written as a sum of positive squares in 6 ways, for example, as 1779556 + 4251844 = 1334^2 + 2062^2 .

It is not an unprimeable number, because it can be changed into a prime (6031409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10316 + ... + 10884.

Almost surely, 26031400 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 6031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156350).

6031400 is an abundant number, since it is smaller than the sum of its proper divisors (8281300).

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

6031400 is a wasteful number, since it uses less digits than its factorization.

6031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 6031400 is about 2455.8908770546. The cubic root of 6031400 is about 182.0284945121.

Adding to 6031400 its reverse (41306), we get a palindrome (6072706).

The spelling of 6031400 in words is "six million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 569 1060 1138 1325 2120 2276 2650 2845 4552 5300 5690 10600 11380 14225 22760 28450 30157 56900 60314 113800 120628 150785 241256 301570 603140 753925 1206280 1507850 3015700 6031400