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12114096 = 2431937359
BaseRepresentation
bin101110001101…
…100010110000
3211210110102020
4232031202300
511100122341
61111351440
7204653031
oct56154260
924713366
1012114096
116924555
124082580
132681c07
141874a88
1510e4566
hexb8d8b0

12114096 has 80 divisors (see below), whose sum is σ = 33926400. Its totient is φ = 3711744.

The previous prime is 12114079. The next prime is 12114101. The reversal of 12114096 is 69041121.

It is a super-3 number, since 3×121140963 (a number of 22 digits) contains 333 as substring.

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, 33565 + ... + 33923.

It is an arithmetic number, because the mean of its divisors is an integer number (424080).

Almost surely, 212114096 is an apocalyptic number.

12114096 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 12114096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963200).

12114096 is an abundant number, since it is smaller than the sum of its proper divisors (21812304).

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

12114096 is a wasteful number, since it uses less digits than its factorization.

12114096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 12114096 is about 3480.5309939720. The cubic root of 12114096 is about 229.6661571265. Note that the first 3 decimals are identical.

Subtracting 12114096 from its reverse (69041121), we obtain a square (56927025 = 75452).

The spelling of 12114096 in words is "twelve million, one hundred fourteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 359 444 456 592 703 718 888 912 1077 1406 1436 1776 2109 2154 2812 2872 4218 4308 5624 5744 6821 8436 8616 11248 13283 13642 16872 17232 20463 26566 27284 33744 39849 40926 53132 54568 79698 81852 106264 109136 159396 163704 212528 252377 318792 327408 504754 637584 757131 1009508 1514262 2019016 3028524 4038032 6057048 12114096