Search a number
-
+
132246648 = 233341109137
BaseRepresentation
bin1111110000111…
…10110001111000
3100012211211022000
413320132301320
5232323343043
621042301000
73164035512
oct770366170
9305754260
10132246648
1168716956
1238357760
1321524271
14137c6bb2
15b9242d3
hex7e1ec78

132246648 has 128 divisors (see below), whose sum is σ = 382536000. Its totient is φ = 42301440.

The previous prime is 132246643. The next prime is 132246649. The reversal of 132246648 is 846642231.

132246648 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 4 + 6 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132246643) 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, 965236 + ... + 965372.

Almost surely, 2132246648 is an apocalyptic number.

132246648 is a gapful number since it is divisible by the number (18) 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 132246648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191268000).

132246648 is an abundant number, since it is smaller than the sum of its proper divisors (250289352).

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

132246648 is a wasteful number, since it uses less digits than its factorization.

132246648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 292 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 132246648 is about 11499.8542599461. The cubic root of 132246648 is about 509.4812718812.

Adding to 132246648 its reverse (846642231), we get a palindrome (978888879).

The spelling of 132246648 in words is "one hundred thirty-two million, two hundred forty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 109 123 137 164 216 218 246 274 327 328 369 411 436 492 548 654 738 822 872 981 984 1096 1107 1233 1308 1476 1644 1962 2214 2466 2616 2943 2952 3288 3699 3924 4428 4469 4932 5617 5886 7398 7848 8856 8938 9864 11234 11772 13407 14796 14933 16851 17876 22468 23544 26814 29592 29866 33702 35752 40221 44799 44936 50553 53628 59732 67404 80442 89598 101106 107256 119464 120663 134397 134808 151659 160884 179196 202212 241326 268794 303318 321768 358392 403191 404424 482652 537588 606636 612253 806382 965304 1075176 1213272 1224506 1612764 1836759 2449012 3225528 3673518 4898024 5510277 7347036 11020554 14694072 16530831 22041108 33061662 44082216 66123324 132246648