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132050142 = 23373159191
BaseRepresentation
bin1111101111011…
…10110011011110
3100012110211202000
413313232303132
5232301101032
621034143130
73162256560
oct767566336
9305424660
10132050142
11685a2254
1238281aa6
13214859a3
1413775330
15b8d5e7c
hex7deecde

132050142 has 128 divisors (see below), whose sum is σ = 353894400. Its totient is φ = 35704800.

The previous prime is 132050141. The next prime is 132050143. The reversal of 132050142 is 241050231.

It is an interprime number because it is at equal distance from previous prime (132050141) and next prime (132050143).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132050141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 691267 + ... + 691457.

It is an arithmetic number, because the mean of its divisors is an integer number (2764800).

Almost surely, 2132050142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132050142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176947200).

132050142 is an abundant number, since it is smaller than the sum of its proper divisors (221844258).

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

132050142 is a wasteful number, since it uses less digits than its factorization.

132050142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132050142 is about 11491.3072363417. The cubic root of 132050142 is about 509.2287998098.

The spelling of 132050142 in words is "one hundred thirty-two million, fifty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 59 62 63 93 118 126 177 186 189 191 217 279 354 378 382 413 434 531 558 573 651 826 837 1062 1146 1239 1302 1337 1593 1674 1719 1829 1953 2478 2674 3186 3438 3658 3717 3906 4011 5157 5487 5859 5921 7434 8022 10314 10974 11151 11269 11718 11842 12033 12803 16461 17763 22302 22538 24066 25606 32922 33807 35526 36099 38409 41447 49383 53289 67614 72198 76818 78883 82894 98766 101421 106578 115227 124341 157766 159867 202842 230454 236649 248682 304263 319734 345681 349339 373023 473298 608526 691362 698678 709947 746046 1048017 1119069 1419894 2096034 2129841 2238138 2445373 3144051 4259682 4890746 6288102 7336119 9432153 14672238 18864306 22008357 44016714 66025071 132050142