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12315060 = 22325312207
BaseRepresentation
bin101110111110…
…100110110100
3212011200002100
4232332212310
511123040220
61115542100
7206450652
oct56764664
925150070
1012315060
116a5153a
12415a930
132722524
1418c7dd2
151133d90
hexbbe9b4

12315060 has 72 divisors (see below), whose sum is σ = 38578176. Its totient is φ = 3176640.

The previous prime is 12315013. The next prime is 12315077. The reversal of 12315060 is 6051321.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4477 + ... + 6683.

It is an arithmetic number, because the mean of its divisors is an integer number (535808).

Almost surely, 212315060 is an apocalyptic number.

12315060 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 12315060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19289088).

12315060 is an abundant number, since it is smaller than the sum of its proper divisors (26263116).

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

12315060 is a wasteful number, since it uses less digits than its factorization.

12315060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 12315060 is about 3509.2819778411. The cubic root of 12315060 is about 230.9291962684.

Adding to 12315060 its reverse (6051321), we get a palindrome (18366381).

The spelling of 12315060 in words is "twelve million, three hundred fifteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2207 2790 4414 5580 6621 8828 11035 13242 19863 22070 26484 33105 39726 44140 66210 68417 79452 99315 132420 136834 198630 205251 273668 342085 397260 410502 615753 684170 821004 1026255 1231506 1368340 2052510 2463012 3078765 4105020 6157530 12315060