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13392 = 243331
BaseRepresentation
bin11010001010000
3200101000
43101100
5412032
6142000
754021
oct32120
920330
1013392
11a075
127900
136132
144c48
153e7c
hex3450

13392 has 40 divisors (see below), whose sum is σ = 39680. Its totient is φ = 4320.

The previous prime is 13381. The next prime is 13397. The reversal of 13392 is 29331.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13397) by changing a digit.

13392 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (992).

213392 is an apocalyptic number.

13392 is a gapful number since it is divisible by the number (12) 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 13392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19840).

13392 is an abundant number, since it is smaller than the sum of its proper divisors (26288).

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

13392 is a wasteful number, since it uses less digits than its factorization.

13392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 36 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 13392 is about 115.7238091319. The cubic root of 13392 is about 23.7473496581.

It can be divided in two parts, 133 and 92, that added together give a square (225 = 152).

The spelling of 13392 in words is "thirteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392