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12102660 = 2232571947
BaseRepresentation
bin101110001010…
…110000000100
3211202212201200
4232022300010
511044241120
61111222500
7204604503
oct56126004
924685650
1012102660
1169169a9
124077a30
13267994b
14187083a
1510e0e90
hexb8ac04

12102660 has 72 divisors (see below), whose sum is σ = 37267776. Its totient is φ = 3178560.

The previous prime is 12102653. The next prime is 12102661. The reversal of 12102660 is 6620121.

It is a happy number.

12102660 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 2 + 660 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12102661) 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, 12307 + ... + 13253.

It is an arithmetic number, because the mean of its divisors is an integer number (517608).

Almost surely, 212102660 is an apocalyptic number.

12102660 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 12102660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18633888).

12102660 is an abundant number, since it is smaller than the sum of its proper divisors (25165116).

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

12102660 is a wasteful number, since it uses less digits than its factorization.

12102660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1028 counting only the distinct ones).

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

The square root of 12102660 is about 3478.8877532913. The cubic root of 12102660 is about 229.5938642349.

Adding to 12102660 its reverse (6620121), we get a palindrome (18722781).

The spelling of 12102660 in words is "twelve million, one hundred two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 947 1065 1278 1420 1894 2130 2556 2841 3195 3788 4260 4735 5682 6390 8523 9470 11364 12780 14205 17046 18940 28410 34092 42615 56820 67237 85230 134474 170460 201711 268948 336185 403422 605133 672370 806844 1008555 1210266 1344740 2017110 2420532 3025665 4034220 6051330 12102660