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14134160 = 245176677
BaseRepresentation
bin110101111010…
…101110010000
3222121002102102
4311322232100
512104243120
61222535532
7231065315
oct65725620
928532372
1014134160
117a84227
1248975a8
132c0b511
141c3cd0c
151392d75
hexd7ab90

14134160 has 20 divisors (see below), whose sum is σ = 32862108. Its totient is φ = 5653632.

The previous prime is 14134147. The next prime is 14134177. The reversal of 14134160 is 6143141.

It can be written as a sum of positive squares in 2 ways, for example, as 7311616 + 6822544 = 2704^2 + 2612^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×141341603 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 3 ways as a sum of consecutive naturals, for example, 88259 + ... + 88418.

Almost surely, 214134160 is an apocalyptic number.

14134160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14134160 is an abundant number, since it is smaller than the sum of its proper divisors (18727948).

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

14134160 is a wasteful number, since it uses less digits than its factorization.

14134160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176690 (or 176684 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 14134160 is about 3759.5425253613. The cubic root of 14134160 is about 241.7816485477.

The spelling of 14134160 in words is "fourteen million, one hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 176677 353354 706708 883385 1413416 1766770 2826832 3533540 7067080 14134160