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13114260 = 22325411777
BaseRepresentation
bin110010000001…
…101110010100
3220200021101100
4302001232110
511324124020
61145030100
7216316665
oct62015624
926607340
1013114260
117447a35
124485330
132942223
141a5536c
151240a90
hexc81b94

13114260 has 72 divisors (see below), whose sum is σ = 40773096. Its totient is φ = 3409920.

The previous prime is 13114217. The next prime is 13114261. The reversal of 13114260 is 6241131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24336 + 13089924 = 156^2 + 3618^2 .

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 (13114261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6492 + ... + 8268.

It is an arithmetic number, because the mean of its divisors is an integer number (566293).

Almost surely, 213114260 is an apocalyptic number.

13114260 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 13114260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20386548).

13114260 is an abundant number, since it is smaller than the sum of its proper divisors (27658836).

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

13114260 is a wasteful number, since it uses less digits than its factorization.

13114260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13114260 is about 3621.3616223736. The cubic root of 13114260 is about 235.8203410984.

Adding to 13114260 its reverse (6241131), we get a palindrome (19355391).

The spelling of 13114260 in words is "thirteen million, one hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1777 1845 2460 3554 3690 5331 7108 7380 8885 10662 15993 17770 21324 26655 31986 35540 53310 63972 72857 79965 106620 145714 159930 218571 291428 319860 364285 437142 655713 728570 874284 1092855 1311426 1457140 2185710 2622852 3278565 4371420 6557130 13114260