Search a number
-
+
14355140 = 2251742221
BaseRepresentation
bin110110110000…
…101011000100
31000000022112212
4312300223010
512133331030
61231402552
7233005502
oct66605304
930008485
1014355140
118115258
124983458
132c87c87
141c99672
1513d8595
hexdb0ac4

14355140 has 24 divisors (see below), whose sum is σ = 31919832. Its totient is φ = 5404160.

The previous prime is 14355109. The next prime is 14355161. The reversal of 14355140 is 4155341.

It can be written as a sum of positive squares in 4 ways, for example, as 7300804 + 7054336 = 2702^2 + 2656^2 .

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 7 ways as a sum of consecutive naturals, for example, 20771 + ... + 21450.

It is an arithmetic number, because the mean of its divisors is an integer number (1329993).

Almost surely, 214355140 is an apocalyptic number.

14355140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14355140 is an abundant number, since it is smaller than the sum of its proper divisors (17564692).

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

14355140 is a wasteful number, since it uses less digits than its factorization.

14355140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42247 (or 42245 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 14355140 is about 3788.8177575597. The cubic root of 14355140 is about 243.0351803739.

The spelling of 14355140 in words is "fourteen million, three hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 42221 84442 168884 211105 422210 717757 844420 1435514 2871028 3588785 7177570 14355140