Search a number
-
+
13553118 = 23219231723
BaseRepresentation
bin110011101100…
…110111011110
3221111120101100
4303230313132
511432144433
61202253530
7223125315
oct63546736
927446340
1013553118
117717727
1246572a6
132a66bc7
141b2b27c
1512cab13
hexcecdde

13553118 has 48 divisors (see below), whose sum is σ = 32273280. Its totient is φ = 4091472.

The previous prime is 13553101. The next prime is 13553123. The reversal of 13553118 is 81135531.

It is a junction number, because it is equal to n+sod(n) for n = 13553091 and 13553100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7005 + ... + 8727.

It is an arithmetic number, because the mean of its divisors is an integer number (672360).

Almost surely, 213553118 is an apocalyptic number.

13553118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13553118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16136640).

13553118 is an abundant number, since it is smaller than the sum of its proper divisors (18720162).

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

13553118 is a wasteful number, since it uses less digits than its factorization.

13553118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1770 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 13553118 is about 3681.4559619803. The cubic root of 13553118 is about 238.4220437967.

Adding to 13553118 its reverse (81135531), we get a palindrome (94688649).

The spelling of 13553118 in words is "thirteen million, five hundred fifty-three thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 874 1311 1723 2622 3446 3933 5169 7866 10338 15507 31014 32737 39629 65474 79258 98211 118887 196422 237774 294633 356661 589266 713322 752951 1505902 2258853 4517706 6776559 13553118