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12417057 = 3617033
BaseRepresentation
bin101111010111…
…100000100001
3212100212000000
4233113200201
511134321212
61122050213
7210354222
oct57274041
925325000
1012417057
117011134
1241a9969
132759a93
141913249
1511541dc
hexbd7821

12417057 has 14 divisors (see below), whose sum is σ = 18618162. Its totient is φ = 8277552.

The previous prime is 12417037. The next prime is 12417059. The reversal of 12417057 is 75071421.

12417057 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9144576 + 3272481 = 3024^2 + 1809^2 .

It is not a de Polignac number, because 12417057 - 215 = 12384289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12417057.

It is not an unprimeable number, because it can be changed into a prime (12417059) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7788 + ... + 9245.

Almost surely, 212417057 is an apocalyptic number.

It is an amenable number.

12417057 is a deficient number, since it is larger than the sum of its proper divisors (6201105).

12417057 is an frugal number, since it uses more digits than its factorization.

12417057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17051 (or 17036 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 12417057 is about 3523.7844712752. The cubic root of 12417057 is about 231.5649857131.

Adding to 12417057 its reverse (75071421), we get a palindrome (87488478).

The spelling of 12417057 in words is "twelve million, four hundred seventeen thousand, fifty-seven".

Divisors: 1 3 9 27 81 243 729 17033 51099 153297 459891 1379673 4139019 12417057