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12090936 = 23311132271
BaseRepresentation
bin101110000111…
…111000111000
3211202021122110
4232013320320
511043402221
61111052320
7204525354
oct56077070
924667573
1012090936
116909110
1240710a0
132674500
14186a464
1510dc776
hexb87e38

12090936 has 96 divisors (see below), whose sum is σ = 35838720. Its totient is φ = 3369600.

The previous prime is 12090931. The next prime is 12090937. The reversal of 12090936 is 63909021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12090931) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44481 + ... + 44751.

It is an arithmetic number, because the mean of its divisors is an integer number (373320).

Almost surely, 212090936 is an apocalyptic number.

12090936 is the 1859-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12090936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17919360).

12090936 is an abundant number, since it is smaller than the sum of its proper divisors (23747784).

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

12090936 is a wasteful number, since it uses less digits than its factorization.

12090936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 12090936 is about 3477.2023237080. The cubic root of 12090936 is about 229.5197034550.

Adding to 12090936 its reverse (63909021), we get a palindrome (75999957).

The spelling of 12090936 in words is "twelve million, ninety thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 169 264 271 286 312 338 429 507 542 572 676 813 858 1014 1084 1144 1352 1626 1716 1859 2028 2168 2981 3252 3432 3523 3718 4056 5577 5962 6504 7046 7436 8943 10569 11154 11924 14092 14872 17886 21138 22308 23848 28184 35772 38753 42276 44616 45799 71544 77506 84552 91598 116259 137397 155012 183196 232518 274794 310024 366392 465036 503789 549588 930072 1007578 1099176 1511367 2015156 3022734 4030312 6045468 12090936