Search a number
-
+
12364688 = 247532083
BaseRepresentation
bin101111001010…
…101110010000
3212021012011102
4233022232100
511131132223
61121003532
7210045440
oct57125620
925235142
1012364688
116a85856
1241835a8
13273bcab
1418dc120
151143928
hexbcab90

12364688 has 40 divisors (see below), whose sum is σ = 27908928. Its totient is φ = 5196672.

The previous prime is 12364673. The next prime is 12364699. The reversal of 12364688 is 88646321.

It is a happy number.

12364688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4895 + ... + 6977.

Almost surely, 212364688 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 12364688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13954464).

12364688 is an abundant number, since it is smaller than the sum of its proper divisors (15544240).

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

12364688 is a wasteful number, since it uses less digits than its factorization.

12364688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2145 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 12364688 is about 3516.3458305463. The cubic root of 12364688 is about 231.2389848174.

The spelling of 12364688 in words is "twelve million, three hundred sixty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2083 2968 4166 5936 8332 14581 16664 29162 33328 58324 110399 116648 220798 233296 441596 772793 883192 1545586 1766384 3091172 6182344 12364688