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14199380 = 2251324201
BaseRepresentation
bin110110001010…
…101001010100
3222201101212222
4312022221110
512113340010
61224201512
7231456416
oct66125124
928641788
1014199380
118019228
124909298
132c32100
141c589b6
1513a7355
hexd8aa54

14199380 has 36 divisors (see below), whose sum is σ = 32296572. Its totient is φ = 5241600.

The previous prime is 14199373. The next prime is 14199401. The reversal of 14199380 is 8399141.

It can be written as a sum of positive squares in 6 ways, for example, as 6370576 + 7828804 = 2524^2 + 2798^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14199380.

It is a congruent number.

It is an unprimeable number.

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, 1280 + ... + 5480.

It is an arithmetic number, because the mean of its divisors is an integer number (897127).

Almost surely, 214199380 is an apocalyptic number.

14199380 is a gapful number since it is divisible by the number (10) 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 14199380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148286).

14199380 is an abundant number, since it is smaller than the sum of its proper divisors (18097192).

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

14199380 is a wasteful number, since it uses less digits than its factorization.

14199380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 14199380 is about 3768.2064699270. The cubic root of 14199380 is about 242.1529666058.

It can be divided in two parts, 1419 and 9380, that multiplied together give a triangular number (13310220 = T5159).

The spelling of 14199380 in words is "fourteen million, one hundred ninety-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 4201 8402 16804 21005 42010 54613 84020 109226 218452 273065 546130 709969 1092260 1419938 2839876 3549845 7099690 14199380