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11538 = 232641
BaseRepresentation
bin10110100010010
3120211100
42310102
5332123
6125230
745432
oct26422
916740
1011538
11873a
126816
135337
1442c2
153643
hex2d12

11538 has 12 divisors (see below), whose sum is σ = 25038. Its totient is φ = 3840.

The previous prime is 11527. The next prime is 11549. The reversal of 11538 is 83511.

It is a happy number.

11538 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (11527) and next prime (11549).

It can be written as a sum of positive squares in only one way, i.e., 7569 + 3969 = 87^2 + 63^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 641 = 11538 / (1 + 1 + 5 + 3 + 8).

It is a self number, because there is not a number n which added to its sum of digits gives 11538.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11538.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 303 + ... + 338.

211538 is an apocalyptic number.

11538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11538 is an abundant number, since it is smaller than the sum of its proper divisors (13500).

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

11538 is a wasteful number, since it uses less digits than its factorization.

11538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 646 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 11538 is about 107.4150827398. The cubic root of 11538 is about 22.5966215223.

It can be divided in two parts, 115 and 38, that added together give a triangular number (153 = T17).

The spelling of 11538 in words is "eleven thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 641 1282 1923 3846 5769 11538