Search a number
-
+
13159328 = 257134519
BaseRepresentation
bin110010001100…
…101110100000
3220202120012112
4302030232200
511332044303
61150014452
7216565250
oct62145640
926676175
1013159328
117478886
1244a7428
1329598b0
141a67960
15124e0d8
hexc8cba0

13159328 has 48 divisors (see below), whose sum is σ = 31893120. Its totient is φ = 5204736.

The previous prime is 13159297. The next prime is 13159331. The reversal of 13159328 is 82395131.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13159294 and 13159303.

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, 653 + ... + 5171.

It is an arithmetic number, because the mean of its divisors is an integer number (664440).

Almost surely, 213159328 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 13159328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946560).

13159328 is an abundant number, since it is smaller than the sum of its proper divisors (18733792).

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

13159328 is a wasteful number, since it uses less digits than its factorization.

13159328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4549 (or 4541 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

The square root of 13159328 is about 3627.5788068628. The cubic root of 13159328 is about 236.0901695085.

The spelling of 13159328 in words is "thirteen million, one hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 4519 9038 18076 31633 36152 58747 63266 72304 117494 126532 144608 234988 253064 411229 469976 506128 822458 939952 1012256 1644916 1879904 3289832 6579664 13159328