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12206064 = 2431331631
BaseRepresentation
bin101110100011…
…111111110000
3211222010120110
4232203333300
511111043224
61113341320
7205515123
oct56437760
924863513
1012206064
116987662
124107840
1326b4a30
14189a3ba
151111929
hexba3ff0

12206064 has 80 divisors (see below), whose sum is σ = 35108864. Its totient is φ = 3628800.

The previous prime is 12206057. The next prime is 12206081. The reversal of 12206064 is 46060221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12206064.

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, 19029 + ... + 19659.

Almost surely, 212206064 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 12206064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554432).

12206064 is an abundant number, since it is smaller than the sum of its proper divisors (22902800).

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

12206064 is a wasteful number, since it uses less digits than its factorization.

12206064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12206064 is about 3493.7177905492. The cubic root of 12206064 is about 230.2458870034.

Adding to 12206064 its reverse (46060221), we get a palindrome (58266285).

The spelling of 12206064 in words is "twelve million, two hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 631 744 806 1209 1262 1488 1612 1893 2418 2524 3224 3786 4836 5048 6448 7572 8203 9672 10096 15144 16406 19344 19561 24609 30288 32812 39122 49218 58683 65624 78244 98436 117366 131248 156488 196872 234732 254293 312976 393744 469464 508586 762879 938928 1017172 1525758 2034344 3051516 4068688 6103032 12206064