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12429516 = 223111729191
BaseRepresentation
bin101111011010…
…100011001100
3212101111002110
4233122203030
511140221031
61122224020
7210435441
oct57324314
925344073
1012429516
11701a530
1241b5010
132762658
1419179c8
151157c46
hexbda8cc

12429516 has 96 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 3404800.

The previous prime is 12429511. The next prime is 12429523. The reversal of 12429516 is 61592421.

It is not an unprimeable number, because it can be changed into a prime (12429511) 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, 64981 + ... + 65171.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 212429516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12429516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

12429516 is an abundant number, since it is smaller than the sum of its proper divisors (22406964).

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

12429516 is a wasteful number, since it uses less digits than its factorization.

12429516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 12429516 is about 3525.5518716933. The cubic root of 12429516 is about 231.6424088834.

The spelling of 12429516 in words is "twelve million, four hundred twenty-nine thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 17 22 29 33 34 44 51 58 66 68 87 102 116 132 174 187 191 204 319 348 374 382 493 561 573 638 748 764 957 986 1122 1146 1276 1479 1914 1972 2101 2244 2292 2958 3247 3828 4202 5423 5539 5916 6303 6494 8404 9741 10846 11078 12606 12988 16269 16617 19482 21692 22156 25212 32538 33234 35717 38964 60929 65076 66468 71434 94163 107151 121858 142868 182787 188326 214302 243716 282489 365574 376652 428604 564978 731148 1035793 1129956 2071586 3107379 4143172 6214758 12429516