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14520 = 2335112
BaseRepresentation
bin11100010111000
3201220210
43202320
5431040
6151120
760222
oct34270
921823
1014520
11aa00
1284a0
1367bc
145412
154480
hex38b8

14520 has 48 divisors (see below), whose sum is σ = 47880. Its totient is φ = 3520.

The previous prime is 14519. The next prime is 14533. The reversal of 14520 is 2541.

14520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (12) 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 (12).

It is an Ulam number.

It is a plaindrome in base 13.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 14496 and 14505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1315 + ... + 1325.

214520 is an apocalyptic number.

14520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 120×121.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23940).

14520 is an abundant number, since it is smaller than the sum of its proper divisors (33360).

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

14520 is a wasteful number, since it uses less digits than its factorization.

14520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 14520 is about 120.4989626511. The cubic root of 14520 is about 24.3962011465.

14520 divided by its product of nonzero digits (40) gives a palindrome (363).

The spelling of 14520 in words is "fourteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520