Search a number
-
+
14055768 = 2334109199
BaseRepresentation
bin110101100111…
…100101011000
3222110002220000
4311213211120
512044241033
61221133000
7230320626
oct65474530
928402800
1014055768
117a30341
12485a160
132bb192c
141c1c516
151379a13
hexd67958

14055768 has 80 divisors (see below), whose sum is σ = 39930000. Its totient is φ = 4618944.

The previous prime is 14055757. The next prime is 14055781. The reversal of 14055768 is 86755041.

14055768 is a `hidden beast` number, since 1 + 40 + 557 + 68 = 666.

It is a super-2 number, since 2×140557682 = 395129228139648, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 70533 + ... + 70731.

It is an arithmetic number, because the mean of its divisors is an integer number (499125).

Almost surely, 214055768 is an apocalyptic number.

14055768 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 14055768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19965000).

14055768 is an abundant number, since it is smaller than the sum of its proper divisors (25874232).

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

14055768 is a wasteful number, since it uses less digits than its factorization.

14055768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 14055768 is about 3749.1022925495. The cubic root of 14055768 is about 241.3338234137. Note that the first 3 decimals are identical.

It can be divided in two parts, 140557 and 68, that added together give a square (140625 = 3752).

The spelling of 14055768 in words is "fourteen million, fifty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 199 216 218 324 327 398 436 597 648 654 796 872 981 1194 1308 1592 1791 1962 2388 2616 2943 3582 3924 4776 5373 5886 7164 7848 8829 10746 11772 14328 16119 17658 21492 21691 23544 32238 35316 42984 43382 64476 65073 70632 86764 128952 130146 173528 195219 260292 390438 520584 585657 780876 1171314 1561752 1756971 2342628 3513942 4685256 7027884 14055768