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14374160 = 245353509
BaseRepresentation
bin110110110101…
…010100010000
31000001021122022
4312311110100
512134433120
61232031012
7233115113
oct66652420
930037568
1014374160
118128579
124992468
132c93828
141ca257a
1513de025
hexdb5510

14374160 has 40 divisors (see below), whose sum is σ = 33580440. Its totient is φ = 5722112.

The previous prime is 14374159. The next prime is 14374181. The reversal of 14374160 is 6147341.

It can be written as a sum of positive squares in 4 ways, for example, as 2650384 + 11723776 = 1628^2 + 3424^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

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, 27986 + ... + 28494.

It is an arithmetic number, because the mean of its divisors is an integer number (839511).

Almost surely, 214374160 is an apocalyptic number.

14374160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14374160 is an abundant number, since it is smaller than the sum of its proper divisors (19206280).

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

14374160 is a wasteful number, since it uses less digits than its factorization.

14374160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 14374160 is about 3791.3269444879. The cubic root of 14374160 is about 243.1424703777.

The spelling of 14374160 in words is "fourteen million, three hundred seventy-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 353 509 706 1018 1412 1765 2036 2545 2824 3530 4072 5090 5648 7060 8144 10180 14120 20360 28240 40720 179677 359354 718708 898385 1437416 1796770 2874832 3593540 7187080 14374160