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132241032 = 23337117951
BaseRepresentation
bin1111110000111…
…01011010001000
3100012211112121000
413320131122020
5232323203112
621042215000
73164013240
oct770353210
9305745530
10132241032
1168712710
1238354460
1321521841
14137c4b20
15b9227dc
hex7e1d688

132241032 has 128 divisors (see below), whose sum is σ = 458035200. Its totient is φ = 34344000.

The previous prime is 132241019. The next prime is 132241037. The reversal of 132241032 is 230142231.

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

It is a junction number, because it is equal to n+sod(n) for n = 132240996 and 132241014.

It is not an unprimeable number, because it can be changed into a prime (132241037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12657 + ... + 20607.

It is an arithmetic number, because the mean of its divisors is an integer number (3578400).

Almost surely, 2132241032 is an apocalyptic number.

132241032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132241032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229017600).

132241032 is an abundant number, since it is smaller than the sum of its proper divisors (325794168).

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

132241032 is a wasteful number, since it uses less digits than its factorization.

132241032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7984 (or 7974 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132241032 is about 11499.6100803462. The cubic root of 132241032 is about 509.4740598841.

Adding to 132241032 its reverse (230142231), we get a palindrome (362383263).

The spelling of 132241032 in words is "one hundred thirty-two million, two hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 7951 8316 15902 16632 23853 31804 47706 55657 63608 71559 87461 95412 111314 143118 166971 174922 190824 214677 222628 262383 286236 333942 349844 429354 445256 500913 524766 572472 612227 667884 699688 787149 858708 1001826 1049532 1224454 1335768 1502739 1574298 1717416 1836681 2003652 2099064 2361447 2448908 3005478 3148596 3673362 4007304 4722894 4897816 5510043 6010956 6297192 7346724 9445788 11020086 12021912 14693448 16530129 18891576 22040172 33060258 44080344 66120516 132241032