Search a number
-
+
5713000 = 235329197
BaseRepresentation
bin10101110010110001101000
3101202020202121
4111302301220
52430304000
6322241024
766362656
oct25626150
911666677
105713000
113252297
121ab6174
131250497
14a89dd6
1577cb1a
hex572c68

5713000 has 64 divisors (see below), whose sum is σ = 13899600. Its totient is φ = 2195200.

The previous prime is 5712989. The next prime is 5713007. The reversal of 5713000 is 3175.

It can be written as a sum of positive squares in 8 ways, for example, as 1378276 + 4334724 = 1174^2 + 2082^2 .

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (5713007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28902 + ... + 29098.

Almost surely, 25713000 is an apocalyptic number.

5713000 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 5713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949800).

5713000 is an abundant number, since it is smaller than the sum of its proper divisors (8186600).

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

5713000 is a wasteful number, since it uses less digits than its factorization.

5713000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 5713000 is about 2390.1882771029. The cubic root of 5713000 is about 178.7672974605.

Adding to 5713000 its reverse (3175), we get a palindrome (5716175).

The spelling of 5713000 in words is "five million, seven hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 197 200 232 250 290 394 500 580 725 788 985 1000 1160 1450 1576 1970 2900 3625 3940 4925 5713 5800 7250 7880 9850 11426 14500 19700 22852 24625 28565 29000 39400 45704 49250 57130 98500 114260 142825 197000 228520 285650 571300 714125 1142600 1428250 2856500 5713000