Search a number
-
+
132164250 = 2353313563
BaseRepresentation
bin1111110000010…
…10101010011010
3100012200122021020
413320022222122
5232313224000
621040423310
73163243341
oct770125232
9305618236
10132164250
116866aa59
1238317b36
13214c58ca
14137a4b58
15b909ba0
hex7e0aa9a

132164250 has 64 divisors (see below), whose sum is σ = 331523712. Its totient is φ = 35068800.

The previous prime is 132164213. The next prime is 132164287. The reversal of 132164250 is 52461231.

It is an interprime number because it is at equal distance from previous prime (132164213) and next prime (132164287).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 132164250.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234469 + ... + 235031.

It is an arithmetic number, because the mean of its divisors is an integer number (5180058).

Almost surely, 2132164250 is an apocalyptic number.

132164250 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 132164250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165761856).

132164250 is an abundant number, since it is smaller than the sum of its proper divisors (199359462).

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

132164250 is a wasteful number, since it uses less digits than its factorization.

132164250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 132164250 is about 11496.2711345897. The cubic root of 132164250 is about 509.3754369123.

The spelling of 132164250 in words is "one hundred thirty-two million, one hundred sixty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 313 375 563 626 750 939 1126 1565 1689 1878 2815 3130 3378 4695 5630 7825 8445 9390 14075 15650 16890 23475 28150 39125 42225 46950 70375 78250 84450 117375 140750 176219 211125 234750 352438 422250 528657 881095 1057314 1762190 2643285 4405475 5286570 8810950 13216425 22027375 26432850 44054750 66082125 132164250