Search a number
-
+
12731000 = 235329439
BaseRepresentation
bin110000100100…
…001001111000
3212221210122112
4300210021320
511224343000
61132511452
7213132422
oct60441170
925853575
1012731000
117205a97
12431b588
132839949
141995812
1511b7235
hexc24278

12731000 has 64 divisors (see below), whose sum is σ = 30888000. Its totient is φ = 4905600.

The previous prime is 12730979. The next prime is 12731003. The reversal of 12731000 is 13721.

It is a super-2 number, since 2×127310002 = 324156722000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12731003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28781 + ... + 29219.

It is an arithmetic number, because the mean of its divisors is an integer number (482625).

Almost surely, 212731000 is an apocalyptic number.

12731000 is a gapful number since it is divisible by the number (10) 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 12731000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15444000).

12731000 is an abundant number, since it is smaller than the sum of its proper divisors (18157000).

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

12731000 is a wasteful number, since it uses less digits than its factorization.

12731000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 12731000 is about 3568.0526901939. The cubic root of 12731000 is about 233.5003339610.

Adding to 12731000 its reverse (13721), we get a palindrome (12744721).

The spelling of 12731000 in words is "twelve million, seven hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 439 500 580 725 878 1000 1160 1450 1756 2195 2900 3512 3625 4390 5800 7250 8780 10975 12731 14500 17560 21950 25462 29000 43900 50924 54875 63655 87800 101848 109750 127310 219500 254620 318275 439000 509240 636550 1273100 1591375 2546200 3182750 6365500 12731000