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13318140 = 223511171187
BaseRepresentation
bin110010110011…
…011111111100
3221001122001110
4302303133330
511402140030
61153242020
7221126253
oct62633774
927048043
1013318140
117577130
124563310
1329b3c74
141aa979a
1512811b0
hexcb37fc

13318140 has 96 divisors (see below), whose sum is σ = 43110144. Its totient is φ = 3036160.

The previous prime is 13318139. The next prime is 13318141. The reversal of 13318140 is 4181331.

It is an interprime number because it is at equal distance from previous prime (13318139) and next prime (13318141).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13318141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10627 + ... + 11813.

It is an arithmetic number, because the mean of its divisors is an integer number (449064).

Almost surely, 213318140 is an apocalyptic number.

13318140 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 13318140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555072).

13318140 is an abundant number, since it is smaller than the sum of its proper divisors (29792004).

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

13318140 is a wasteful number, since it uses less digits than its factorization.

13318140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 13318140 is about 3649.4026908523. The cubic root of 13318140 is about 237.0361176240.

Adding to 13318140 its reverse (4181331), we get a palindrome (17499471).

The spelling of 13318140 in words is "thirteen million, three hundred eighteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1187 1870 2244 2374 2805 3561 3740 4748 5610 5935 7122 11220 11870 13057 14244 17805 20179 23740 26114 35610 39171 40358 52228 60537 65285 71220 78342 80716 100895 121074 130570 156684 195855 201790 221969 242148 261140 302685 391710 403580 443938 605370 665907 783420 887876 1109845 1210740 1331814 2219690 2663628 3329535 4439380 6659070 13318140