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12090672 = 24321117449
BaseRepresentation
bin101110000111…
…110100110000
3211202021021200
4232013310300
511043400142
61111051200
7204524526
oct56076460
924667250
1012090672
1169089a0
124070b00
132674359
14186a316
1510dc64c
hexb87d30

12090672 has 120 divisors (see below), whose sum is σ = 39171600. Its totient is φ = 3440640.

The previous prime is 12090671. The next prime is 12090719. The reversal of 12090672 is 27609021.

12090672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×120906723 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12090671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26704 + ... + 27152.

It is an arithmetic number, because the mean of its divisors is an integer number (326430).

Almost surely, 212090672 is an apocalyptic number.

12090672 is a gapful number since it is divisible by the number (12) 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 12090672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19585800).

12090672 is an abundant number, since it is smaller than the sum of its proper divisors (27080928).

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

12090672 is a wasteful number, since it uses less digits than its factorization.

12090672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12090672 is about 3477.1643619478. The cubic root of 12090672 is about 229.5180329573.

Adding to 12090672 its reverse (27609021), we get a palindrome (39699693).

The spelling of 12090672 in words is "twelve million, ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 449 528 561 612 748 792 816 898 1122 1224 1347 1496 1584 1683 1796 2244 2448 2694 2992 3366 3592 4041 4488 4939 5388 6732 7184 7633 8082 8976 9878 10776 13464 14817 15266 16164 19756 21552 22899 26928 29634 30532 32328 39512 44451 45798 59268 61064 64656 68697 79024 83963 88902 91596 118536 122128 137394 167926 177804 183192 237072 251889 274788 335852 355608 366384 503778 549576 671704 711216 755667 1007556 1099152 1343408 1511334 2015112 3022668 4030224 6045336 12090672