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12091296 = 253719947
BaseRepresentation
bin101110000111…
…111110100000
3211202022010210
4232013332200
511043410141
61111054120
7204526410
oct56077640
924668123
1012091296
116909408
124071340
132674719
14186a640
1510dc916
hexb87fa0

12091296 has 96 divisors (see below), whose sum is σ = 38223360. Its totient is φ = 3269376.

The previous prime is 12091291. The next prime is 12091297. The reversal of 12091296 is 69219021.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12091291) 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 15 ways as a sum of consecutive naturals, for example, 12295 + ... + 13241.

It is an arithmetic number, because the mean of its divisors is an integer number (398160).

Almost surely, 212091296 is an apocalyptic number.

12091296 is a gapful number since it is divisible by the number (16) 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 12091296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111680).

12091296 is an abundant number, since it is smaller than the sum of its proper divisors (26132064).

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

12091296 is a wasteful number, since it uses less digits than its factorization.

12091296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 12091296 is about 3477.2540890766. The cubic root of 12091296 is about 229.5219813672.

The spelling of 12091296 in words is "twelve million, ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 947 1064 1596 1824 1894 2128 2841 3192 3788 4256 5682 6384 6629 7576 11364 12768 13258 15152 17993 19887 22728 26516 30304 35986 39774 45456 53032 53979 71972 79548 90912 106064 107958 125951 143944 159096 212128 215916 251902 287888 318192 377853 431832 503804 575776 636384 755706 863664 1007608 1511412 1727328 2015216 3022824 4030432 6045648 12091296