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132707575 = 52711135303
BaseRepresentation
bin1111110100011…
…11010011110111
3100020201020120101
413322033103313
5232433120300
621100214531
73200665360
oct772172367
9306636511
10132707575
1168a01190
123853a447
1321655cc0
14138a6b67
15b9b5b6a
hex7e8f4f7

132707575 has 48 divisors (see below), whose sum is σ = 220985856. Its totient is φ = 76348800.

The previous prime is 132707573. The next prime is 132707623. The reversal of 132707575 is 575707231.

It is not a de Polignac number, because 132707575 - 21 = 132707573 is a prime.

It is a super-2 number, since 2×1327075752 = 35222600924761250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132707573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22374 + ... + 27676.

It is an arithmetic number, because the mean of its divisors is an integer number (4603872).

Almost surely, 2132707575 is an apocalyptic number.

132707575 is a deficient number, since it is larger than the sum of its proper divisors (88278281).

132707575 is a wasteful number, since it uses less digits than its factorization.

132707575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5344 (or 5339 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 37.

The square root of 132707575 is about 11519.8773865003. The cubic root of 132707575 is about 510.0724938599.

It can be divided in two parts, 132 and 707575, that added together give a palindrome (707707).

The spelling of 132707575 in words is "one hundred thirty-two million, seven hundred seven thousand, five hundred seventy-five".

Divisors: 1 5 7 11 13 25 35 55 65 77 91 143 175 275 325 385 455 715 1001 1925 2275 3575 5005 5303 25025 26515 37121 58333 68939 132575 185605 291665 344695 408331 482573 758329 928025 1458325 1723475 2041655 2412865 3791645 5308303 10208275 12064325 18958225 26541515 132707575