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13287096 = 2332315953
BaseRepresentation
bin110010101011…
…111010111000
3221000001110200
4302223322320
511400141341
61152442200
7220636614
oct62537270
927001420
1013287096
117555879
124549360
1329a2ab4
141a9c344
151276db6
hexcabeb8

13287096 has 48 divisors (see below), whose sum is σ = 37152960. Its totient is φ = 4285440.

The previous prime is 13287083. The next prime is 13287101. The reversal of 13287096 is 69078231.

It is a super-2 number, since 2×132870962 = 353093840226432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13287096.

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, 745 + ... + 5208.

It is an arithmetic number, because the mean of its divisors is an integer number (774020).

Almost surely, 213287096 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 13287096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18576480).

13287096 is an abundant number, since it is smaller than the sum of its proper divisors (23865864).

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

13287096 is a wasteful number, since it uses less digits than its factorization.

13287096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5996 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13287096 is about 3645.1469106197. The cubic root of 13287096 is about 236.8518007415.

The spelling of 13287096 in words is "thirteen million, two hundred eighty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 5953 11906 17859 23812 35718 47624 53577 71436 107154 142872 184543 214308 369086 428616 553629 738172 1107258 1476344 1660887 2214516 3321774 4429032 6643548 13287096