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12090540 = 22357112617
BaseRepresentation
bin101110000111…
…110010101100
3211202021002210
4232013302230
511043344130
61111050420
7204524250
oct56076254
924667083
1012090540
116908890
124070a10
132674287
14186a260
1510dc5b0
hexb87cac

12090540 has 96 divisors (see below), whose sum is σ = 42223104. Its totient is φ = 2511360.

The previous prime is 12090539. The next prime is 12090541. The reversal of 12090540 is 4509021.

It is an interprime number because it is at equal distance from previous prime (12090539) and next prime (12090541).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12090541) 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 31 ways as a sum of consecutive naturals, for example, 3312 + ... + 5928.

It is an arithmetic number, because the mean of its divisors is an integer number (439824).

Almost surely, 212090540 is an apocalyptic number.

12090540 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 12090540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21111552).

12090540 is an abundant number, since it is smaller than the sum of its proper divisors (30132564).

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

12090540 is a wasteful number, since it uses less digits than its factorization.

12090540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 12090540 is about 3477.1453809123. The cubic root of 12090540 is about 229.5171976993.

Adding to 12090540 its reverse (4509021), we get a palindrome (16599561).

The spelling of 12090540 in words is "twelve million, ninety thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 2617 4620 5234 7851 10468 13085 15702 18319 26170 28787 31404 36638 39255 52340 54957 57574 73276 78510 86361 91595 109914 115148 143935 157020 172722 183190 201509 219828 274785 287870 345444 366380 403018 431805 549570 575740 604527 806036 863610 1007545 1099140 1209054 1727220 2015090 2418108 3022635 4030180 6045270 12090540