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12093660 = 2232567187
BaseRepresentation
bin101110001000…
…100011011100
3211202102101100
4232020203130
511043444120
61111113100
7204536325
oct56104334
924672340
1012093660
116910167
124072790
132675817
14186b44c
1510dd490
hexb888dc

12093660 has 36 divisors (see below), whose sum is σ = 36684648. Its totient is φ = 3224928.

The previous prime is 12093637. The next prime is 12093661. The reversal of 12093660 is 6639021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×120936603 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12093661) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 33414 + ... + 33773.

It is an arithmetic number, because the mean of its divisors is an integer number (1019018).

Almost surely, 212093660 is an apocalyptic number.

12093660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12093660 is an abundant number, since it is smaller than the sum of its proper divisors (24590988).

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

12093660 is a wasteful number, since it uses less digits than its factorization.

12093660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67202 (or 67197 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 12093660 is about 3477.5939958540. The cubic root of 12093660 is about 229.5369385344.

The spelling of 12093660 in words is "twelve million, ninety-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 67187 134374 201561 268748 335935 403122 604683 671870 806244 1007805 1209366 1343740 2015610 2418732 3023415 4031220 6046830 12093660