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132517050 = 23521018747
BaseRepresentation
bin1111110011000…
…00110010111010
3100020100120012220
413321200302322
5232411021200
621052144510
73166243041
oct771406272
9306316186
10132517050
1168891026
1238468136
13215ba373
1413857558
15b9794a0
hex7e60cba

132517050 has 48 divisors (see below), whose sum is σ = 331934112. Its totient is φ = 34984000.

The previous prime is 132517031. The next prime is 132517051. The reversal of 132517050 is 50715231.

It is a self number, because there is not a number n which added to its sum of digits gives 132517050.

It is not an unprimeable number, because it can be changed into a prime (132517051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10777 + ... + 19523.

It is an arithmetic number, because the mean of its divisors is an integer number (6915294).

Almost surely, 2132517050 is an apocalyptic number.

132517050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132517050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165967056).

132517050 is an abundant number, since it is smaller than the sum of its proper divisors (199417062).

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

132517050 is a wasteful number, since it uses less digits than its factorization.

132517050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8863 (or 8858 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 132517050 is about 11511.6050140717. The cubic root of 132517050 is about 509.8282774413.

It can be divided in two parts, 13251 and 7050, that added together give a triangular number (20301 = T201).

The spelling of 132517050 in words is "one hundred thirty-two million, five hundred seventeen thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 101 150 202 303 505 606 1010 1515 2525 3030 5050 7575 8747 15150 17494 26241 43735 52482 87470 131205 218675 262410 437350 656025 883447 1312050 1766894 2650341 4417235 5300682 8834470 13251705 22086175 26503410 44172350 66258525 132517050