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13932 = 223443
BaseRepresentation
bin11011001101100
3201010000
43121230
5421212
6144300
755422
oct33154
921100
1013932
11a516
128090
136459
145112
1541dc
hex366c

13932 has 30 divisors (see below), whose sum is σ = 37268. Its totient is φ = 4536.

The previous prime is 13931. The next prime is 13933. The reversal of 13932 is 23931.

Subtracting 13932 from its reverse (23931), we obtain a palindrome (9999).

It can be divided in two parts, 139 and 32, that added together give a palindrome (171).

It is an interprime number because it is at equal distance from previous prime (13931) and next prime (13933).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 16.

It is a nialpdrome in base 7 and base 9.

It is not an unprimeable number, because it can be changed into a prime (13931) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 303 + ... + 345.

213932 is an apocalyptic number.

13932 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 13932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18634).

13932 is an abundant number, since it is smaller than the sum of its proper divisors (23336).

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

13932 is a wasteful number, since it uses less digits than its factorization.

13932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 48 counting only the distinct ones).

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

The square root of 13932 is about 118.0338934374. The cubic root of 13932 is about 24.0623379424.

The spelling of 13932 in words is "thirteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1548 2322 3483 4644 6966 13932