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12727220 = 22511174183
BaseRepresentation
bin110000100011…
…001110110100
3212221121110112
4300203032310
511224232340
61132442152
7213115412
oct60431664
925847415
1012727220
117203170
124319358
132837ccc
1419942b2
1511b6065
hexc233b4

12727220 has 96 divisors (see below), whose sum is σ = 32006016. Its totient is φ = 4198400.

The previous prime is 12727213. The next prime is 12727229. The reversal of 12727220 is 2272721.

It is a super-3 number, since 3×127272203 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12727229) 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 31 ways as a sum of consecutive naturals, for example, 153299 + ... + 153381.

It is an arithmetic number, because the mean of its divisors is an integer number (333396).

Almost surely, 212727220 is an apocalyptic number.

12727220 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 12727220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003008).

12727220 is an abundant number, since it is smaller than the sum of its proper divisors (19278796).

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

12727220 is a wasteful number, since it uses less digits than its factorization.

12727220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 12727220 is about 3567.5229501714. The cubic root of 12727220 is about 233.4772219083.

Adding to 12727220 its reverse (2272721), we get a palindrome (14999941).

The spelling of 12727220 in words is "twelve million, seven hundred twenty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 41 44 55 68 82 83 85 110 164 166 170 187 205 220 332 340 374 410 415 451 697 748 820 830 902 913 935 1394 1411 1660 1804 1826 1870 2255 2788 2822 3403 3485 3652 3740 4510 4565 5644 6806 6970 7055 7667 9020 9130 13612 13940 14110 15334 15521 17015 18260 28220 30668 31042 34030 37433 38335 57851 62084 68060 74866 76670 77605 115702 149732 153340 155210 187165 231404 289255 310420 374330 578510 636361 748660 1157020 1272722 2545444 3181805 6363610 12727220