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12013540 = 22571129269
BaseRepresentation
bin101101110100…
…111111100100
3211121100110221
4231310333210
511033413130
61105254124
7204053620
oct55647744
924540427
1012013540
116865a50
124034344
132648206
14184a180
1510c487a
hexb74fe4

12013540 has 96 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3601920.

The previous prime is 12013531. The next prime is 12013541. The reversal of 12013540 is 4531021.

It is not an unprimeable number, because it can be changed into a prime (12013541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44526 + ... + 44794.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 212013540 is an apocalyptic number.

12013540 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 12013540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

12013540 is an abundant number, since it is smaller than the sum of its proper divisors (20645660).

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

12013540 is a wasteful number, since it uses less digits than its factorization.

12013540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 12013540 is about 3466.0553948257. The cubic root of 12013540 is about 229.0289240939.

Adding to 12013540 its reverse (4531021), we get a palindrome (16544561).

The spelling of 12013540 in words is "twelve million, thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 203 220 269 290 308 319 385 406 538 580 638 770 812 1015 1076 1276 1345 1540 1595 1883 2030 2233 2690 2959 3190 3766 4060 4466 5380 5918 6380 7532 7801 8932 9415 11165 11836 14795 15602 18830 20713 22330 29590 31204 37660 39005 41426 44660 54607 59180 78010 82852 85811 103565 109214 156020 171622 207130 218428 273035 343244 414260 429055 546070 600677 858110 1092140 1201354 1716220 2402708 3003385 6006770 12013540