Search a number
-
+
11318310 = 2325671877
BaseRepresentation
bin101011001011…
…010000100110
3210022000210200
4223023100212
510344141220
61042331330
7165126663
oct53132046
923260720
1011318310
116430683
123959b46
132463933
141708a6a
15ed8890
hexacb426

11318310 has 48 divisors (see below), whose sum is σ = 29882736. Its totient is φ = 2971584.

The previous prime is 11318299. The next prime is 11318327. The reversal of 11318310 is 1381311.

It is a happy number.

It is a super-2 number, since 2×113183102 = 256208282512200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5092 + ... + 6968.

It is an arithmetic number, because the mean of its divisors is an integer number (622557).

Almost surely, 211318310 is an apocalyptic number.

11318310 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 11318310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14941368).

11318310 is an abundant number, since it is smaller than the sum of its proper divisors (18564426).

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

11318310 is a wasteful number, since it uses less digits than its factorization.

11318310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11318310 is about 3364.2696086967. The cubic root of 11318310 is about 224.5228406514.

Adding to 11318310 its reverse (1381311), we get a palindrome (12699621).

It can be divided in two parts, 11318 and 310, that added together give a triangular number (11628 = T152).

The spelling of 11318310 in words is "eleven million, three hundred eighteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 1877 2010 3015 3754 5631 6030 9385 11262 16893 18770 28155 33786 56310 84465 125759 168930 251518 377277 628795 754554 1131831 1257590 1886385 2263662 3772770 5659155 11318310