Search a number
-
+
13118200 = 2352107613
BaseRepresentation
bin110010000010…
…101011111000
3220200110210021
4302002223320
511324240300
61145100224
7216334324
oct62025370
926613707
1013118200
11744a997
124487674
132943c64
141a56984
151241d1a
hexc82af8

13118200 has 48 divisors (see below), whose sum is σ = 30835080. Its totient is φ = 5189760.

The previous prime is 13118197. The next prime is 13118207. The reversal of 13118200 is 281131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13118207) 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 11 ways as a sum of consecutive naturals, for example, 21094 + ... + 21706.

Almost surely, 213118200 is an apocalyptic number.

13118200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13118200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15417540).

13118200 is an abundant number, since it is smaller than the sum of its proper divisors (17716880).

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

13118200 is a wasteful number, since it uses less digits than its factorization.

13118200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 13118200 is about 3621.9055757985. The cubic root of 13118200 is about 235.8439550655.

Adding to 13118200 its reverse (281131), we get a palindrome (13399331).

The spelling of 13118200 in words is "thirteen million, one hundred eighteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 613 856 1070 1226 2140 2452 2675 3065 4280 4904 5350 6130 10700 12260 15325 21400 24520 30650 61300 65591 122600 131182 262364 327955 524728 655910 1311820 1639775 2623640 3279550 6559100 13118200