Search a number
-
+
132035112 = 233211433877
BaseRepresentation
bin1111101111010…
…11001000101000
3100012110002010100
413313223020220
5232300110422
621033545400
73162165006
oct767531050
9305402110
10132035112
1168591a30
1238275260
132147bbb1
141376da76
15b8d17ac
hex7deb228

132035112 has 96 divisors (see below), whose sum is σ = 399278880. Its totient is φ = 39070080.

The previous prime is 132035093. The next prime is 132035117. The reversal of 132035112 is 211530231.

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

It is not an unprimeable number, because it can be changed into a prime (132035117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32118 + ... + 35994.

It is an arithmetic number, because the mean of its divisors is an integer number (4159155).

Almost surely, 2132035112 is an apocalyptic number.

132035112 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 132035112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199639440).

132035112 is an abundant number, since it is smaller than the sum of its proper divisors (267243768).

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

132035112 is a wasteful number, since it uses less digits than its factorization.

132035112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 132035112 is about 11490.6532451380. The cubic root of 132035112 is about 509.2094788681.

Adding to 132035112 its reverse (211530231), we get a palindrome (343565343).

The spelling of 132035112 in words is "one hundred thirty-two million, thirty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 129 132 172 198 258 264 344 387 396 473 516 774 792 946 1032 1419 1548 1892 2838 3096 3784 3877 4257 5676 7754 8514 11352 11631 15508 17028 23262 31016 34056 34893 42647 46524 69786 85294 93048 127941 139572 166711 170588 255882 279144 333422 341176 383823 500133 511764 666844 767646 1000266 1023528 1333688 1500399 1535292 1833821 2000532 3000798 3070584 3667642 4001064 5501463 6001596 7335284 11002926 12003192 14670568 16504389 22005852 33008778 44011704 66017556 132035112