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171414080 = 265535669
BaseRepresentation
bin10100011011110…
…01001001000000
3102221112201220122
422031321021000
5322340222310
625001555412
74150665335
oct1215711100
9387481818
10171414080
1188838a32
12494a5b68
1329688b66
1418aa098c
15100ae555
hexa379240

171414080 has 28 divisors (see below), whose sum is σ = 408180540. Its totient is φ = 68565504.

The previous prime is 171414053. The next prime is 171414149. The reversal of 171414080 is 80414171.

It can be written as a sum of positive squares in 2 ways, for example, as 66064384 + 105349696 = 8128^2 + 10264^2 .

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 3 ways as a sum of consecutive naturals, for example, 267515 + ... + 268154.

Almost surely, 2171414080 is an apocalyptic number.

171414080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

171414080 is an abundant number, since it is smaller than the sum of its proper divisors (236766460).

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

171414080 is an equidigital number, since it uses as much as digits as its factorization.

171414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535686 (or 535676 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 171414080 is about 13092.5200018942. The cubic root of 171414080 is about 555.4975707185.

Subtracting from 171414080 its reverse (80414171), we obtain a palindrome (90999909).

The spelling of 171414080 in words is "one hundred seventy-one million, four hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 535669 1071338 2142676 2678345 4285352 5356690 8570704 10713380 17141408 21426760 34282816 42853520 85707040 171414080