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12414768 = 243475503
BaseRepresentation
bin101111010110…
…111100110000
3212100201212020
4233112330300
511134233033
61122031440
7210344442
oct57267460
925321766
1012414768
11700a443
1241a8580
132758a22
141912492
1511536b3
hexbd6f30

12414768 has 40 divisors (see below), whose sum is σ = 32759808. Its totient is φ = 4049472.

The previous prime is 12414763. The next prime is 12414793. The reversal of 12414768 is 86741421.

It is not an unprimeable number, because it can be changed into a prime (12414763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496 + ... + 5007.

Almost surely, 212414768 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 12414768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16379904).

12414768 is an abundant number, since it is smaller than the sum of its proper divisors (20345040).

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

12414768 is a wasteful number, since it uses less digits than its factorization.

12414768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5555 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 12414768 is about 3523.4596634558. The cubic root of 12414768 is about 231.5507556953.

The spelling of 12414768 in words is "twelve million, four hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 5503 11006 16509 22012 33018 44024 66036 88048 132072 258641 264144 517282 775923 1034564 1551846 2069128 3103692 4138256 6207384 12414768