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132414170 = 25721811493
BaseRepresentation
bin1111110010001…
…11101011011010
3100020011100002112
413321013223122
5232344223140
621050032322
73165334100
oct771075332
9306140075
10132414170
11688207a9
12384186a2
13215825a5
141382bc70
15b958c65
hex7e47ada

132414170 has 48 divisors (see below), whose sum is σ = 278977608. Its totient is φ = 45118080.

The previous prime is 132414169. The next prime is 132414179. The reversal of 132414170 is 71414231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 91030681 + 41383489 = 9541^2 + 6433^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132414179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87944 + ... + 89436.

Almost surely, 2132414170 is an apocalyptic number.

132414170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132414170 is an abundant number, since it is smaller than the sum of its proper divisors (146563438).

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

132414170 is a wasteful number, since it uses less digits than its factorization.

132414170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 132414170 is about 11507.1356123060. The cubic root of 132414170 is about 509.6963077248.

The spelling of 132414170 in words is "one hundred thirty-two million, four hundred fourteen thousand, one hundred seventy".

Divisors: 1 2 5 7 10 14 35 49 70 98 181 245 362 490 905 1267 1493 1810 2534 2986 6335 7465 8869 10451 12670 14930 17738 20902 44345 52255 73157 88690 104510 146314 270233 365785 540466 731570 1351165 1891631 2702330 3783262 9458155 13241417 18916310 26482834 66207085 132414170