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12406688 = 25797571
BaseRepresentation
bin101111010100…
…111110100000
3212100022202222
4233110332200
511134003223
61121530212
7210312050
oct57247640
925308688
1012406688
117004368
1241a3968
132755148
14190d560
1511510c8
hexbd4fa0

12406688 has 48 divisors (see below), whose sum is σ = 28252224. Its totient is φ = 5253120.

The previous prime is 12406687. The next prime is 12406703. The reversal of 12406688 is 88660421.

It is not an unprimeable number, because it can be changed into a prime (12406687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21443 + ... + 22013.

It is an arithmetic number, because the mean of its divisors is an integer number (588588).

Almost surely, 212406688 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 12406688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126112).

12406688 is an abundant number, since it is smaller than the sum of its proper divisors (15845536).

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

12406688 is an equidigital number, since it uses as much as digits as its factorization.

12406688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 12406688 is about 3522.3128765060. The cubic root of 12406688 is about 231.5005108003.

The spelling of 12406688 in words is "twelve million, four hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 194 224 388 571 679 776 1142 1358 1552 2284 2716 3104 3997 4568 5432 7994 9136 10864 15988 18272 21728 31976 55387 63952 110774 127904 221548 387709 443096 775418 886192 1550836 1772384 3101672 6203344 12406688