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12260024 = 237376197
BaseRepresentation
bin101110110001…
…001010111000
3212001212120222
4232301022320
511114310044
61114435212
7206131340
oct56611270
925055528
1012260024
116a14157
124132b08
13270346a
1418b1d20
1511228ee
hexbb12b8

12260024 has 64 divisors (see below), whose sum is σ = 27706560. Its totient is φ = 4976640.

The previous prime is 12259981. The next prime is 12260033. The reversal of 12260024 is 42006221.

12260024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 12259984 and 12260011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126344 + ... + 126440.

It is an arithmetic number, because the mean of its divisors is an integer number (432915).

Almost surely, 212260024 is an apocalyptic number.

12260024 is a gapful number since it is divisible by the number (14) 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 12260024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13853280).

12260024 is an abundant number, since it is smaller than the sum of its proper divisors (15446536).

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

12260024 is a wasteful number, since it uses less digits than its factorization.

12260024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 12260024 is about 3501.4317071735. The cubic root of 12260024 is about 230.5846750293.

Adding to 12260024 its reverse (42006221), we get a palindrome (54266245).

The spelling of 12260024 in words is "twelve million, two hundred sixty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 37 56 61 74 97 122 148 194 244 259 296 388 427 488 518 679 776 854 1036 1358 1708 2072 2257 2716 3416 3589 4514 5432 5917 7178 9028 11834 14356 15799 18056 23668 25123 28712 31598 41419 47336 50246 63196 82838 100492 126392 165676 200984 218929 331352 437858 875716 1532503 1751432 3065006 6130012 12260024