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132043230 = 233511231933
BaseRepresentation
bin1111101111011…
…01000111011110
3100012110111021000
413313231013132
5232300340410
621034051130
73162230454
oct767550736
9305414230
10132043230
1168598040
1238279aa6
13214827b7
14137729d4
15b8d3dc0
hex7ded1de

132043230 has 128 divisors (see below), whose sum is σ = 401034240. Its totient is φ = 30602880.

The previous prime is 132043213. The next prime is 132043231. The reversal of 132043230 is 32340231.

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 (132043231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67344 + ... + 69276.

It is an arithmetic number, because the mean of its divisors is an integer number (3133080).

Almost surely, 2132043230 is an apocalyptic number.

132043230 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 132043230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200517120).

132043230 is an abundant number, since it is smaller than the sum of its proper divisors (268991010).

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

132043230 is a wasteful number, since it uses less digits than its factorization.

132043230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 132043230 is about 11491.0064833330. The cubic root of 132043230 is about 509.2199146726.

Adding to 132043230 its reverse (32340231), we get a palindrome (164383461).

The spelling of 132043230 in words is "one hundred thirty-two million, forty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 27 30 33 45 46 54 55 66 69 90 99 110 115 135 138 165 198 207 230 253 270 297 330 345 414 495 506 594 621 690 759 990 1035 1242 1265 1485 1518 1933 2070 2277 2530 2970 3105 3795 3866 4554 5799 6210 6831 7590 9665 11385 11598 13662 17397 19330 21263 22770 28995 34155 34794 42526 44459 52191 57990 63789 68310 86985 88918 104382 106315 127578 133377 173970 191367 212630 222295 260955 266754 318945 382734 400131 444590 489049 521910 574101 637890 666885 800262 956835 978098 1148202 1200393 1333770 1467147 1913670 2000655 2400786 2445245 2870505 2934294 4001310 4401441 4890490 5741010 6001965 7335735 8802882 12003930 13204323 14671470 22007205 26408646 44014410 66021615 132043230