Search a number
-
+
13311918 = 233172853
BaseRepresentation
bin110010110001…
…111110101110
3221001022112000
4302301332232
511401440133
61153153130
7221102154
oct62617656
927038460
1013311918
117572494
12455b7a6
1329b1199
141aa73d4
15127e413
hexcb1fae

13311918 has 48 divisors (see below), whose sum is σ = 31461360. Its totient is φ = 4171392.

The previous prime is 13311911. The next prime is 13311929. The reversal of 13311918 is 81911331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13311891 and 13311900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15180 + ... + 16032.

It is an arithmetic number, because the mean of its divisors is an integer number (655445).

Almost surely, 213311918 is an apocalyptic number.

13311918 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 13311918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15730680).

13311918 is an abundant number, since it is smaller than the sum of its proper divisors (18149442).

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

13311918 is a wasteful number, since it uses less digits than its factorization.

13311918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 875 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 13311918 is about 3648.5501229941. The cubic root of 13311918 is about 236.9991988436. Note that the first 3 decimals are identical.

It can be divided in two parts, 1331 and 1918, that added together give a square (3249 = 572).

The spelling of 13311918 in words is "thirteen million, three hundred eleven thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 289 306 459 578 853 867 918 1706 1734 2559 2601 5118 5202 7677 7803 14501 15354 15606 23031 29002 43503 46062 87006 130509 246517 261018 391527 493034 739551 783054 1479102 2218653 4437306 6655959 13311918