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14680180 = 2251743177
BaseRepresentation
bin111000000000…
…000001110100
31000121211102101
4320000001310
512224231210
61242351444
7235531234
oct70000164
930554371
1014680180
118317489
124abb584
13306cbc8
141d41cc4
15144ea3a
hexe00074

14680180 has 24 divisors (see below), whose sum is σ = 32642568. Its totient is φ = 5526528.

The previous prime is 14680153. The next prime is 14680189. The reversal of 14680180 is 8108641.

It can be written as a sum of positive squares in 4 ways, for example, as 3671056 + 11009124 = 1916^2 + 3318^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14680189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21249 + ... + 21928.

It is an arithmetic number, because the mean of its divisors is an integer number (1360107).

Almost surely, 214680180 is an apocalyptic number.

14680180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14680180 is an abundant number, since it is smaller than the sum of its proper divisors (17962388).

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

14680180 is a wasteful number, since it uses less digits than its factorization.

14680180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43203 (or 43201 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 14680180 is about 3831.4723018704. The cubic root of 14680180 is about 244.8558363314.

The spelling of 14680180 in words is "fourteen million, six hundred eighty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 43177 86354 172708 215885 431770 734009 863540 1468018 2936036 3670045 7340090 14680180