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132442050 = 235213232953
BaseRepresentation
bin1111110010011…
…10011111000010
3100020012202100010
413321032133002
5232401121200
621050405350
73165511266
oct771163702
9306182303
10132442050
116883a744
1238430856
13215921a0
14138380a6
15b962150
hex7e4e7c2

132442050 has 96 divisors (see below), whose sum is σ = 369226368. Its totient is φ = 31173120.

The previous prime is 132442031. The next prime is 132442061. The reversal of 132442050 is 50244231.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43374 + ... + 46326.

It is an arithmetic number, because the mean of its divisors is an integer number (3846108).

Almost surely, 2132442050 is an apocalyptic number.

132442050 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 132442050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184613184).

132442050 is an abundant number, since it is smaller than the sum of its proper divisors (236784318).

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

132442050 is a wasteful number, since it uses less digits than its factorization.

132442050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 132442050 is about 11508.3469707860. The cubic root of 132442050 is about 509.7320776524.

Adding to 132442050 its reverse (50244231), we get a palindrome (182686281).

The spelling of 132442050 in words is "one hundred thirty-two million, four hundred forty-two thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 23 25 26 30 39 46 50 65 69 75 78 115 130 138 150 195 230 299 325 345 390 575 598 650 690 897 975 1150 1495 1725 1794 1950 2953 2990 3450 4485 5906 7475 8859 8970 14765 14950 17718 22425 29530 38389 44295 44850 67919 73825 76778 88590 115167 135838 147650 191945 203757 221475 230334 339595 383890 407514 442950 575835 679190 882947 959725 1018785 1151670 1697975 1765894 1919450 2037570 2648841 2879175 3395950 4414735 5093925 5297682 5758350 8829470 10187850 13244205 22073675 26488410 44147350 66221025 132442050