Search a number
-
+
14394528 = 2532151331
BaseRepresentation
bin110110111010…
…010010100000
31000002022120200
4312322102200
512141111103
61232305200
7233231361
oct66722240
930068520
1014394528
118141905
1249a2200
132c9cb95
141ca9b68
1513e50a3
hexdba4a0

14394528 has 72 divisors (see below), whose sum is σ = 41330016. Its totient is φ = 4752000.

The previous prime is 14394521. The next prime is 14394539. The reversal of 14394528 is 82549341.

14394528 is a `hidden beast` number, since 1 + 43 + 94 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14394492 and 14394501.

It is not an unprimeable number, because it can be changed into a prime (14394521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43323 + ... + 43653.

It is an arithmetic number, because the mean of its divisors is an integer number (574028).

Almost surely, 214394528 is an apocalyptic number.

14394528 is a gapful number since it is divisible by the number (18) 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 14394528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20665008).

14394528 is an abundant number, since it is smaller than the sum of its proper divisors (26935488).

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

14394528 is a wasteful number, since it uses less digits than its factorization.

14394528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 487 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 14394528 is about 3794.0121243876. The cubic root of 14394528 is about 243.2572594286.

The spelling of 14394528 in words is "fourteen million, three hundred ninety-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 331 453 604 662 906 993 1208 1324 1359 1812 1986 2416 2648 2718 2979 3624 3972 4832 5296 5436 5958 7248 7944 10592 10872 11916 14496 15888 21744 23832 31776 43488 47664 49981 95328 99962 149943 199924 299886 399848 449829 599772 799696 899658 1199544 1599392 1799316 2399088 3598632 4798176 7197264 14394528