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11392 = 2789
BaseRepresentation
bin10110010000000
3120121221
42302000
5331032
6124424
745133
oct26200
916557
1011392
118617
126714
135254
14421a
153597
hex2c80

11392 has 16 divisors (see below), whose sum is σ = 22950. Its totient is φ = 5632.

The previous prime is 11383. The next prime is 11393. The reversal of 11392 is 29311.

It can be divided in two parts, 1139 and 2, that multiplied together give a triangular number (2278 = T67).

It can be written as a sum of positive squares in only one way, i.e., 10816 + 576 = 104^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 84 + ... + 172.

211392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11475).

11392 is an abundant number, since it is smaller than the sum of its proper divisors (11558).

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

11392 is an frugal number, since it uses more digits than its factorization.

11392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 91 counting only the distinct ones).

The product of its digits is 54, while the sum is 16.

The square root of 11392 is about 106.7333125130. The cubic root of 11392 is about 22.5009053134.

The spelling of 11392 in words is "eleven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 2848 5696 11392