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12289644 = 223483457
BaseRepresentation
bin101110111000…
…011001101100
3212010101020000
4232320121230
511121232034
61115224300
7206313603
oct56703154
925111200
1012289644
116a34434
124148090
132713aa3
1418bca3a
15112b599
hexbb866c

12289644 has 60 divisors (see below), whose sum is σ = 32585784. Its totient is φ = 4038336.

The previous prime is 12289639. The next prime is 12289679. The reversal of 12289644 is 44698221.

12289644 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 9 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12289599 and 12289608.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 26664 + ... + 27120.

It is a vampire number, since it can be written as 14948226 (with its own digits).

Almost surely, 212289644 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 12289644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16292892).

12289644 is an abundant number, since it is smaller than the sum of its proper divisors (20296140).

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

12289644 is a wasteful number, since it uses less digits than its factorization.

12289644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 545 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12289644 is about 3505.6588539103. The cubic root of 12289644 is about 230.7702218419.

The spelling of 12289644 in words is "twelve million, two hundred eighty-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 249 324 332 457 498 747 914 996 1371 1494 1828 2241 2742 2988 4113 4482 5484 6723 8226 8964 12339 13446 16452 24678 26892 37017 37931 49356 74034 75862 113793 148068 151724 227586 341379 455172 682758 1024137 1365516 2048274 3072411 4096548 6144822 12289644