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14335056 = 24361229
BaseRepresentation
bin110110101011…
…110001010000
3222222022000000
4312223301100
512132210211
61231130000
7232563111
oct66536120
928868000
1014335056
11810115a
124973900
132c7baa8
141c92208
1513d2656
hexdabc50

14335056 has 70 divisors (see below), whose sum is σ = 41676090. Its totient is φ = 4774464.

The previous prime is 14335007. The next prime is 14335073. The reversal of 14335056 is 65053341.

14335056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14288400 + 46656 = 3780^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11050 + ... + 12278.

Almost surely, 214335056 is an apocalyptic number.

14335056 is a gapful number since it is divisible by the number (16) 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 14335056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20838045).

14335056 is an abundant number, since it is smaller than the sum of its proper divisors (27341034).

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

14335056 is an equidigital number, since it uses as much as digits as its factorization.

14335056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 14335056 is about 3786.1663988790. The cubic root of 14335056 is about 242.9217855274.

Adding to 14335056 its reverse (65053341), we get a palindrome (79388397).

The spelling of 14335056 in words is "fourteen million, three hundred thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1229 1296 1458 1944 2458 2916 3687 3888 4916 5832 7374 9832 11061 11664 14748 19664 22122 29496 33183 44244 58992 66366 88488 99549 132732 176976 199098 265464 298647 398196 530928 597294 796392 895941 1194588 1592784 1791882 2389176 3583764 4778352 7167528 14335056