Search a number
-
+
13114710 = 23657257
BaseRepresentation
bin110010000001…
…110101010110
3220200022000000
4302001311112
511324132320
61145032130
7216321210
oct62016526
926608000
1013114710
117448304
124485646
1329424ab
141a555b0
151240c90
hexc81d56

13114710 has 112 divisors (see below), whose sum is σ = 40607136. Its totient is φ = 2985984.

The previous prime is 13114709. The next prime is 13114721. The reversal of 13114710 is 1741131.

It is a super-3 number, since 3×131147103 (a number of 22 digits) contains 333 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 50902 + ... + 51158.

Almost surely, 213114710 is an apocalyptic number.

13114710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20303568).

13114710 is an abundant number, since it is smaller than the sum of its proper divisors (27492426).

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

13114710 is an equidigital number, since it uses as much as digits as its factorization.

13114710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 13114710 is about 3621.4237531667. The cubic root of 13114710 is about 235.8230383644.

Adding to 13114710 its reverse (1741131), we get a palindrome (14855841).

It can be divided in two parts, 13114 and 710, that added together give a cube (13824 = 243).

The spelling of 13114710 in words is "thirteen million, one hundred fourteen thousand, seven hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 257 270 315 378 405 486 514 567 630 729 771 810 945 1134 1215 1285 1458 1542 1701 1799 1890 2313 2430 2570 2835 3402 3598 3645 3855 4626 5103 5397 5670 6939 7290 7710 8505 8995 10206 10794 11565 13878 16191 17010 17990 20817 23130 25515 26985 32382 34695 41634 48573 51030 53970 62451 69390 80955 97146 104085 124902 145719 161910 187353 208170 242865 291438 312255 374706 437157 485730 624510 728595 874314 936765 1311471 1457190 1873530 2185785 2622942 4371570 6557355 13114710