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14472 = 233367
BaseRepresentation
bin11100010001000
3201212000
43202020
5430342
6151000
760123
oct34210
921760
1014472
11a967
128460
136783
1453ba
15444c
hex3888

14472 has 32 divisors (see below), whose sum is σ = 40800. Its totient is φ = 4752.

The previous prime is 14461. The next prime is 14479. The reversal of 14472 is 27441.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a plaindrome in base 15 and base 16.

It is not an unprimeable number, because it can be changed into a prime (14479) by changing a digit.

14472 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, 183 + ... + 249.

It is an arithmetic number, because the mean of its divisors is an integer number (1275).

214472 is an apocalyptic number.

14472 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 14472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20400).

14472 is an abundant number, since it is smaller than the sum of its proper divisors (26328).

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

14472 is a wasteful number, since it uses less digits than its factorization.

14472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 72 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 14472 is about 120.2996259346. The cubic root of 14472 is about 24.3692886027.

It can be divided in two parts, 144 and 72, that added together give a cube (216 = 63).

The spelling of 14472 in words is "fourteen thousand, four hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 4824 7236 14472