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14213024 = 257107593
BaseRepresentation
bin110110001101…
…111110100000
3222202002121022
4312031332200
512114304044
61224345012
7231544250
oct66157640
928662538
1014213024
118028501
124915168
132c38397
141c5d960
1513ab3ee
hexd8dfa0

14213024 has 48 divisors (see below), whose sum is σ = 32332608. Its totient is φ = 6024192.

The previous prime is 14213021. The next prime is 14213039. The reversal of 14213024 is 42031241.

14213024 = T461 + T462 + ... + T567.

It is a junction number, because it is equal to n+sod(n) for n = 14212993 and 14213011.

It is not an unprimeable number, because it can be changed into a prime (14213021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23672 + ... + 24264.

It is an arithmetic number, because the mean of its divisors is an integer number (673596).

Almost surely, 214213024 is an apocalyptic number.

14213024 is a gapful number since it is divisible by the number (14) 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 14213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16166304).

14213024 is an abundant number, since it is smaller than the sum of its proper divisors (18119584).

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

14213024 is a wasteful number, since it uses less digits than its factorization.

14213024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 14213024 is about 3770.0164455875. The cubic root of 14213024 is about 242.2305023246.

Adding to 14213024 its reverse (42031241), we get a palindrome (56244265).

The spelling of 14213024 in words is "fourteen million, two hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 214 224 428 593 749 856 1186 1498 1712 2372 2996 3424 4151 4744 5992 8302 9488 11984 16604 18976 23968 33208 63451 66416 126902 132832 253804 444157 507608 888314 1015216 1776628 2030432 3553256 7106512 14213024