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6313140 = 22365433
BaseRepresentation
bin11000000101010010110100
3102212202000000
4120011102310
53104010030
6343151300
7104442441
oct30052264
912782000
106313140
113622179
122145530
1314006b2
14ba49c8
1584a860
hex6054b4

6313140 has 84 divisors (see below), whose sum is σ = 19923204. Its totient is φ = 1679616.

The previous prime is 6313129. The next prime is 6313141. The reversal of 6313140 is 413136.

6313140 is a `hidden beast` number, since 631 + 31 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 4901796 = 1188^2 + 2214^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6313141) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14364 + ... + 14796.

It is an arithmetic number, because the mean of its divisors is an integer number (237181).

Almost surely, 26313140 is an apocalyptic number.

6313140 is a gapful number since it is divisible by the number (60) 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 6313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9961602).

6313140 is an abundant number, since it is smaller than the sum of its proper divisors (13610064).

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

6313140 is a wasteful number, since it uses less digits than its factorization.

6313140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 6313140 is about 2512.5962668125. The cubic root of 6313140 is about 184.8197904257.

Adding to 6313140 its reverse (413136), we get a palindrome (6726276).

It can be divided in two parts, 63 and 13140, that added together give a triangular number (13203 = T162).

The spelling of 6313140 in words is "six million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 433 486 540 729 810 866 972 1215 1299 1458 1620 1732 2165 2430 2598 2916 3645 3897 4330 4860 5196 6495 7290 7794 8660 11691 12990 14580 15588 19485 23382 25980 35073 38970 46764 58455 70146 77940 105219 116910 140292 175365 210438 233820 315657 350730 420876 526095 631314 701460 1052190 1262628 1578285 2104380 3156570 6313140