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12606528 = 2631147127
BaseRepresentation
bin110000000101…
…110001000000
3212201110220110
4300011301000
511211402103
61130111320
7212103504
oct60056100
925643813
1012606528
117130520
12427b540
1327c50ac
141962304
151190403
hexc05c40

12606528 has 112 divisors (see below), whose sum is σ = 37453824. Its totient is φ = 3709440.

The previous prime is 12606521. The next prime is 12606541. The reversal of 12606528 is 82560621.

It is a junction number, because it is equal to n+sod(n) for n = 12606495 and 12606504.

It is not an unprimeable number, because it can be changed into a prime (12606521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99201 + ... + 99327.

Almost surely, 212606528 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 12606528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18726912).

12606528 is an abundant number, since it is smaller than the sum of its proper divisors (24847296).

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

12606528 is a wasteful number, since it uses less digits than its factorization.

12606528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 12606528 is about 3550.5672786190. The cubic root of 12606528 is about 232.7368565537.

The spelling of 12606528 in words is "twelve million, six hundred six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 127 132 141 176 188 192 254 264 282 352 376 381 508 517 528 564 704 752 762 1016 1034 1056 1128 1397 1504 1524 1551 2032 2068 2112 2256 2794 3008 3048 3102 4064 4136 4191 4512 5588 5969 6096 6204 8128 8272 8382 9024 11176 11938 12192 12408 16544 16764 17907 22352 23876 24384 24816 33088 33528 35814 44704 47752 49632 65659 67056 71628 89408 95504 99264 131318 134112 143256 191008 196977 262636 268224 286512 382016 393954 525272 573024 787908 1050544 1146048 1575816 2101088 3151632 4202176 6303264 12606528