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13206096 = 2432293313
BaseRepresentation
bin110010011000…
…001001010000
3220211221100200
4302120021100
511340043341
61151015200
7220151511
oct62301120
926757320
1013206096
1174aaa32
12450a500
132974c77
141a7aa08
15125cdb6
hexc98250

13206096 has 60 divisors (see below), whose sum is σ = 37203348. Its totient is φ = 4372992.

The previous prime is 13206043. The next prime is 13206131. The reversal of 13206096 is 69060231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5588496 + 7617600 = 2364^2 + 2760^2 .

It is a super-2 number, since 2×132060962 = 348801943122432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42036 + ... + 42348.

Almost surely, 213206096 is an apocalyptic number.

13206096 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 13206096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18601674).

13206096 is an abundant number, since it is smaller than the sum of its proper divisors (23997252).

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

13206096 is a wasteful number, since it uses less digits than its factorization.

13206096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13206096 is about 3634.0192624696. The cubic root of 13206096 is about 236.3695254764.

The spelling of 13206096 in words is "thirteen million, two hundred six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 293 313 586 626 879 939 1172 1252 1758 1878 2344 2504 2637 2817 3516 3756 4688 5008 5274 5634 7032 7512 10548 11268 14064 15024 21096 22536 42192 45072 91709 183418 275127 366836 550254 733672 825381 1100508 1467344 1650762 2201016 3301524 4402032 6603048 13206096