Search a number
-
+
14086820 = 2251125821
BaseRepresentation
bin110101101111…
…001010100100
3222111200111002
4311233022210
512101234240
61221532432
7230510306
oct65571244
928450432
1014086820
117a51700
124874118
132bc2ac7
141c29976
151383d15
hexd6f2a4

14086820 has 36 divisors (see below), whose sum is σ = 32521692. Its totient is φ = 5121600.

The previous prime is 14086819. The next prime is 14086841. The reversal of 14086820 is 2868041.

It can be written as a sum of positive squares in 2 ways, for example, as 8952064 + 5134756 = 2992^2 + 2266^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 491 + ... + 5330.

Almost surely, 214086820 is an apocalyptic number.

14086820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14086820 is an abundant number, since it is smaller than the sum of its proper divisors (18434872).

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

14086820 is a wasteful number, since it uses less digits than its factorization.

14086820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5839 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 14086820 is about 3753.2412658927. The cubic root of 14086820 is about 241.5114109147.

It can be divided in two parts, 1408 and 6820, that added together give a palindrome (8228).

The spelling of 14086820 in words is "fourteen million, eighty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 5821 11642 23284 29105 58210 64031 116420 128062 256124 320155 640310 704341 1280620 1408682 2817364 3521705 7043410 14086820