Search a number
-
+
13288368 = 2431012741
BaseRepresentation
bin110010101100…
…001110110000
3221000010012210
4302230032300
511400211433
61152452120
7220643412
oct62541660
927003183
1013288368
117556825
12454a040
1329a3552
141a9c9b2
151277463
hexcac3b0

13288368 has 40 divisors (see below), whose sum is σ = 34680816. Its totient is φ = 4384000.

The previous prime is 13288343. The next prime is 13288369. The reversal of 13288368 is 86388231.

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

It is not an unprimeable number, because it can be changed into a prime (13288369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3478 + ... + 6218.

Almost surely, 213288368 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 13288368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17340408).

13288368 is an abundant number, since it is smaller than the sum of its proper divisors (21392448).

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

13288368 is a wasteful number, since it uses less digits than its factorization.

13288368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2847 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 13288368 is about 3645.3213850085. The cubic root of 13288368 is about 236.8593585976.

The spelling of 13288368 in words is "thirteen million, two hundred eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 2741 4848 5482 8223 10964 16446 21928 32892 43856 65784 131568 276841 553682 830523 1107364 1661046 2214728 3322092 4429456 6644184 13288368