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12091248 = 2433132153
BaseRepresentation
bin101110000111…
…111101110000
3211202022002000
4232013331300
511043404443
61111054000
7204526311
oct56077560
924668060
1012091248
116909374
124071300
1326746b0
14186a608
1510dc8d3
hexb87f70

12091248 has 80 divisors (see below), whose sum is σ = 37393440. Its totient is φ = 3718656.

The previous prime is 12091241. The next prime is 12091253. The reversal of 12091248 is 84219021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12091241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4540 + ... + 6692.

It is an arithmetic number, because the mean of its divisors is an integer number (467418).

Almost surely, 212091248 is an apocalyptic number.

12091248 is a gapful number since it is divisible by the number (18) 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 12091248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18696720).

12091248 is an abundant number, since it is smaller than the sum of its proper divisors (25302192).

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

12091248 is a wasteful number, since it uses less digits than its factorization.

12091248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12091248 is about 3477.2471870720. The cubic root of 12091248 is about 229.5216776482.

The spelling of 12091248 in words is "twelve million, ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2153 2808 4306 5616 6459 8612 12918 17224 19377 25836 27989 34448 38754 51672 55978 58131 77508 83967 103344 111956 116262 155016 167934 223912 232524 251901 310032 335868 447824 465048 503802 671736 755703 930096 1007604 1343472 1511406 2015208 3022812 4030416 6045624 12091248