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132505288 = 2337449997
BaseRepresentation
bin1111110010111…
…01111011001000
3100020022222002021
413321131323020
5232410132123
621052014224
73166163536
oct771357310
9306288067
10132505288
1168883203
1238461374
13215b4bc6
1413853156
15b975c5d
hex7e5dec8

132505288 has 32 divisors (see below), whose sum is σ = 255987000. Its totient is φ = 64253952.

The previous prime is 132505283. The next prime is 132505337. The reversal of 132505288 is 882505231.

It can be written as a sum of positive squares in 4 ways, for example, as 131377444 + 1127844 = 11462^2 + 1062^2 .

It is not an unprimeable number, because it can be changed into a prime (132505283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132406 + ... + 133402.

Almost surely, 2132505288 is an apocalyptic number.

It is an amenable number.

132505288 is a deficient number, since it is larger than the sum of its proper divisors (123481712).

132505288 is a wasteful number, since it uses less digits than its factorization.

132505288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 132505288 is about 11511.0941269716. The cubic root of 132505288 is about 509.8131931493.

The spelling of 132505288 in words is "one hundred thirty-two million, five hundred five thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 37 74 148 296 449 898 997 1796 1994 3592 3988 7976 16613 33226 36889 66452 73778 132904 147556 295112 447653 895306 1790612 3581224 16563161 33126322 66252644 132505288