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13362288 = 243475923
BaseRepresentation
bin110010111110…
…010001110000
3221010212121120
4302332101300
511410043123
61154222240
7221402052
oct62762160
927125546
1013362288
1175a7315
124584980
1329cb0a4
141abb8d2
15128e2e3
hexcbe470

13362288 has 40 divisors (see below), whose sum is σ = 35259648. Its totient is φ = 4358592.

The previous prime is 13362277. The next prime is 13362299. The reversal of 13362288 is 88226331.

13362288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13362277) and next prime (13362299).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 706 + ... + 5217.

Almost surely, 213362288 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 13362288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17629824).

13362288 is an abundant number, since it is smaller than the sum of its proper divisors (21897360).

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

13362288 is a wasteful number, since it uses less digits than its factorization.

13362288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5981 (or 5975 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 13362288 is about 3655.4463475751. The cubic root of 13362288 is about 237.2977439656.

The spelling of 13362288 in words is "thirteen million, three hundred sixty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 5923 11846 17769 23692 35538 47384 71076 94768 142152 278381 284304 556762 835143 1113524 1670286 2227048 3340572 4454096 6681144 13362288