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12057417 = 3529259
BaseRepresentation
bin101101111111…
…101101001001
3211200120200000
4231333231021
511041314132
61110233213
7204325551
oct55775511
924616600
1012057417
116895a09
124055809
132662188
14185c161
1510d287c
hexb7fb49

12057417 has 36 divisors (see below), whose sum is σ = 19022640. Its totient is φ = 7629552.

The previous prime is 12057407. The next prime is 12057431. The reversal of 12057417 is 71475021.

It is not a de Polignac number, because 12057417 - 24 = 12057401 is a prime.

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

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (12057407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204334 + ... + 204392.

Almost surely, 212057417 is an apocalyptic number.

It is an amenable number.

12057417 is a deficient number, since it is larger than the sum of its proper divisors (6965223).

12057417 is an frugal number, since it uses more digits than its factorization.

12057417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 91 counting only the distinct ones).

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

The square root of 12057417 is about 3472.3791555647. The cubic root of 12057417 is about 229.3074124431.

The spelling of 12057417 in words is "twelve million, fifty-seven thousand, four hundred seventeen".

Divisors: 1 3 9 27 29 59 81 87 177 243 261 531 783 841 1593 1711 2349 2523 4779 5133 7047 7569 14337 15399 22707 46197 49619 68121 138591 148857 204363 415773 446571 1339713 4019139 12057417