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12090912 = 2532943101
BaseRepresentation
bin101110000111…
…111000100000
3211202021121120
4232013320200
511043402122
61111052240
7204525321
oct56077040
924667546
1012090912
116909099
124071080
1326744b2
14186a448
1510dc75c
hexb87e20

12090912 has 96 divisors (see below), whose sum is σ = 33929280. Its totient is φ = 3763200.

The previous prime is 12090889. The next prime is 12090931. The reversal of 12090912 is 21909021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 119662 + ... + 119762.

It is an arithmetic number, because the mean of its divisors is an integer number (353430).

Almost surely, 212090912 is an apocalyptic number.

12090912 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 12090912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16964640).

12090912 is an abundant number, since it is smaller than the sum of its proper divisors (21838368).

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

12090912 is a wasteful number, since it uses less digits than its factorization.

12090912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 12090912 is about 3477.1988726560. The cubic root of 12090912 is about 229.5195515926.

Adding to 12090912 its reverse (21909021), we get a palindrome (33999933).

The spelling of 12090912 in words is "twelve million, ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 43 48 58 86 87 96 101 116 129 172 174 202 232 258 303 344 348 404 464 516 606 688 696 808 928 1032 1212 1247 1376 1392 1616 2064 2424 2494 2784 2929 3232 3741 4128 4343 4848 4988 5858 7482 8686 8787 9696 9976 11716 13029 14964 17372 17574 19952 23432 26058 29928 34744 35148 39904 46864 52116 59856 69488 70296 93728 104232 119712 125947 138976 140592 208464 251894 281184 377841 416928 503788 755682 1007576 1511364 2015152 3022728 4030304 6045456 12090912