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132643665 = 32571138281
BaseRepresentation
bin1111110011111…
…11101101010001
3100020120222220100
413321333231101
5232424044130
621055003013
73200311140
oct771775521
9306528810
10132643665
1168968170
1238509469
1321632b9b
141388b757
15b9a1c60
hex7e7fb51

132643665 has 48 divisors (see below), whose sum is σ = 286655616. Its totient is φ = 55123200.

The previous prime is 132643613. The next prime is 132643723. The reversal of 132643665 is 566346231.

132643665 is a `hidden beast` number, since 1 + 3 + 2 + 643 + 6 + 6 + 5 = 666.

It is not a de Polignac number, because 132643665 - 26 = 132643601 is a prime.

It is a super-3 number, since 3×1326436653 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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, 15676 + ... + 22605.

It is an arithmetic number, because the mean of its divisors is an integer number (5971992).

Almost surely, 2132643665 is an apocalyptic number.

132643665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132643665 is an abundant number, since it is smaller than the sum of its proper divisors (154011951).

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

132643665 is a wasteful number, since it uses less digits than its factorization.

132643665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38310 (or 38307 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 132643665 is about 11517.1031514005. The cubic root of 132643665 is about 509.9905995961.

Adding to 132643665 its reverse (566346231), we get a palindrome (698989896).

The spelling of 132643665 in words is "one hundred thirty-two million, six hundred forty-three thousand, six hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 38281 114843 191405 267967 344529 421091 574215 803901 1263273 1339835 1722645 2105455 2411703 2947637 3789819 4019505 6316365 8842911 12058515 14738185 18949095 26528733 44214555 132643665