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132205056 = 293176183
BaseRepresentation
bin1111110000101…
…00101000000000
3100012202201020120
413320110220000
5232321030211
621041340240
73163503324
oct770245000
9305681216
10132205056
1168698685
1238337680
132150b359
14137b5984
15b916d06
hex7e14a00

132205056 has 160 divisors (see below), whose sum is σ = 383600448. Its totient is φ = 40304640.

The previous prime is 132205019. The next prime is 132205057. The reversal of 132205056 is 650502231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (132205057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1592791 + ... + 1592873.

Almost surely, 2132205056 is an apocalyptic number.

132205056 is a gapful number since it is divisible by the number (16) 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 132205056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191800224).

132205056 is an abundant number, since it is smaller than the sum of its proper divisors (251395392).

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

132205056 is an equidigital number, since it uses as much as digits as its factorization.

132205056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 132205056 is about 11498.0457469954. The cubic root of 132205056 is about 509.4278551097.

Adding to 132205056 its reverse (650502231), we get a palindrome (782707287).

The spelling of 132205056 in words is "one hundred thirty-two million, two hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 61 64 68 83 96 102 122 128 136 166 183 192 204 244 249 256 272 332 366 384 408 488 498 512 544 664 732 768 816 976 996 1037 1088 1328 1411 1464 1536 1632 1952 1992 2074 2176 2656 2822 2928 3111 3264 3904 3984 4148 4233 4352 5063 5312 5644 5856 6222 6528 7808 7968 8296 8466 8704 10126 10624 11288 11712 12444 13056 15189 15616 15936 16592 16932 20252 21248 22576 23424 24888 26112 30378 31232 31872 33184 33864 40504 42496 45152 46848 49776 60756 63744 66368 67728 81008 86071 90304 93696 99552 121512 127488 132736 135456 162016 172142 180608 199104 243024 258213 265472 270912 324032 344284 361216 398208 486048 516426 530944 541824 648064 688568 722432 796416 972096 1032852 1083648 1296128 1377136 1592832 1944192 2065704 2167296 2592256 2754272 3888384 4131408 5508544 7776768 8262816 11017088 16525632 22034176 33051264 44068352 66102528 132205056