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11742 = 2319103
BaseRepresentation
bin10110111011110
3121002220
42313132
5333432
6130210
746143
oct26736
917086
1011742
118905
126966
135463
1443ca
15372c
hex2dde

11742 has 16 divisors (see below), whose sum is σ = 24960. Its totient is φ = 3672.

The previous prime is 11731. The next prime is 11743. The reversal of 11742 is 24711.

11742 is nontrivially palindromic in base 4.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11743) by changing a digit.

11742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (1560).

211742 is an apocalyptic number.

11742 is an abundant number, since it is smaller than the sum of its proper divisors (13218).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12480).

11742 is a wasteful number, since it uses less digits than its factorization.

11742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127.

The product of its digits is 56, while the sum is 15.

The square root of 11742 is about 108.3605094119. The cubic root of 11742 is about 22.7290190173.

It can be divided in two parts, 1174 and 2, that added together give a triangular number (1176 = T48).

The spelling of 11742 in words is "eleven thousand, seven hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 19 38 57 103 114 206 309 618 1957 3914 5871 11742