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11376 = 243279

11376 has 30 divisors (see below), whose sum is σ = 32240. Its totient is φ = 3744.

The previous prime is 11369. The next prime is 11383. The reversal of 11376 is 67311.

It is an interprime number because it is at equal distance from previous prime (11369) and next prime (11383).

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

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 11376.

It is an unprimeable number.

11376 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 5 ways as a sum of consecutive naturals, for example, 105 + ... + 183.

211376 is an apocalyptic number.

11376 is a gapful number since it is divisible by the number (16) 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 11376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16120).

11376 is an abundant number, since it is smaller than the sum of its proper divisors (20864).

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

11376 is a wasteful number, since it uses less digits than its factorization.

11376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 84 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 11376 is about 106.6583330078. The cubic root of 11376 is about 22.4903662461.

Adding to 11376 its reverse (67311), we get a palindrome (78687).

The spelling of 11376 in words is "eleven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 5688 11376