Search a number
-
+
13560330 = 2357312083
BaseRepresentation
bin110011101110…
…101000001010
3221111221021110
4303232220022
511432412310
61202351150
7223155330
oct63565012
927457243
1013560330
117722093
12465b4b6
132a6a284
141b2db50
1512ccd20
hexceea0a

13560330 has 64 divisors (see below), whose sum is σ = 38412288. Its totient is φ = 2998080.

The previous prime is 13560301. The next prime is 13560343. The reversal of 13560330 is 3306531.

13560330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13560297 and 13560306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5469 + ... + 7551.

It is an arithmetic number, because the mean of its divisors is an integer number (600192).

Almost surely, 213560330 is an apocalyptic number.

13560330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13560330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206144).

13560330 is an abundant number, since it is smaller than the sum of its proper divisors (24851958).

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

13560330 is a wasteful number, since it uses less digits than its factorization.

13560330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 13560330 is about 3682.4353354811. The cubic root of 13560330 is about 238.4643266837.

Adding to 13560330 its reverse (3306531), we get a palindrome (16866861).

The spelling of 13560330 in words is "thirteen million, five hundred sixty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 2083 2170 3255 4166 6249 6510 10415 12498 14581 20830 29162 31245 43743 62490 64573 72905 87486 129146 145810 193719 218715 322865 387438 437430 452011 645730 904022 968595 1356033 1937190 2260055 2712066 4520110 6780165 13560330