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12093180 = 22351173251
BaseRepresentation
bin101110001000…
…011011111100
3211202101201120
4232020123330
511043440210
61111110540
7204535041
oct56103374
924671646
1012093180
11690a870
124072450
132675538
14186b1c8
1510dd270
hexb886fc

12093180 has 96 divisors (see below), whose sum is σ = 37594368. Its totient is φ = 2880000.

The previous prime is 12093167. The next prime is 12093197. The reversal of 12093180 is 8139021.

It is a self number, because there is not a number n which added to its sum of digits gives 12093180.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48055 + ... + 48305.

It is an arithmetic number, because the mean of its divisors is an integer number (391608).

Almost surely, 212093180 is an apocalyptic number.

12093180 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 12093180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18797184).

12093180 is an abundant number, since it is smaller than the sum of its proper divisors (25501188).

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

12093180 is a wasteful number, since it uses less digits than its factorization.

12093180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 12093180 is about 3477.5249819376. The cubic root of 12093180 is about 229.5339017038.

The spelling of 12093180 in words is "twelve million, ninety-three thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 73 110 132 146 165 219 220 251 292 330 365 438 502 660 730 753 803 876 1004 1095 1255 1460 1506 1606 2190 2409 2510 2761 3012 3212 3765 4015 4380 4818 5020 5522 7530 8030 8283 9636 11044 12045 13805 15060 16060 16566 18323 24090 27610 33132 36646 41415 48180 54969 55220 73292 82830 91615 109938 165660 183230 201553 219876 274845 366460 403106 549690 604659 806212 1007765 1099380 1209318 2015530 2418636 3023295 4031060 6046590 12093180