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12652816 = 2411293767
BaseRepresentation
bin110000010001…
…000100010000
3212210211101211
4300101010100
511214342231
61131105504
7212355451
oct60210420
925724354
1012652816
117162280
1242a2294
132810197
141975128
15119deb1
hexc11110

12652816 has 80 divisors (see below), whose sum is σ = 28837440. Its totient is φ = 5322240.

The previous prime is 12652813. The next prime is 12652817. The reversal of 12652816 is 61825621.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12652813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188815 + ... + 188881.

It is an arithmetic number, because the mean of its divisors is an integer number (360468).

Almost surely, 212652816 is an apocalyptic number.

12652816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12652816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14418720).

12652816 is an abundant number, since it is smaller than the sum of its proper divisors (16184624).

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

12652816 is a wasteful number, since it uses less digits than its factorization.

12652816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 12652816 is about 3557.0797011031. The cubic root of 12652816 is about 233.0213590298.

The spelling of 12652816 in words is "twelve million, six hundred fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 29 37 44 58 67 74 88 116 134 148 176 232 268 296 319 407 464 536 592 638 737 814 1072 1073 1276 1474 1628 1943 2146 2479 2552 2948 3256 3886 4292 4958 5104 5896 6512 7772 8584 9916 11792 11803 15544 17168 19832 21373 23606 27269 31088 39664 42746 47212 54538 71891 85492 94424 109076 143782 170984 188848 218152 287564 341968 436304 575128 790801 1150256 1581602 3163204 6326408 12652816