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66015232 = 21271227
BaseRepresentation
bin1111101111010…
…1000000000000
311121012220212121
43323311000000
5113344441412
610314534024
71431056143
oct373650000
9147186777
1066015232
113429a248
121a137314
13108a4b8a
148aa605a
155be0107
hex3ef5000

66015232 has 52 divisors (see below), whose sum is σ = 134463456. Its totient is φ = 32399360.

The previous prime is 66015227. The next prime is 66015239. The reversal of 66015232 is 23251066.

It is a junction number, because it is equal to n+sod(n) for n = 66015197 and 66015206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66015239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 290703 + ... + 290929.

Almost surely, 266015232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66015232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67231728).

66015232 is an abundant number, since it is smaller than the sum of its proper divisors (68448224).

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

66015232 is an equidigital number, since it uses as much as digits as its factorization.

66015232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 66015232 is about 8124.9758153486. The cubic root of 66015232 is about 404.1550886446.

Adding to 66015232 its reverse (23251066), we get a palindrome (89266298).

The spelling of 66015232 in words is "sixty-six million, fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 71 128 142 227 256 284 454 512 568 908 1024 1136 1816 2048 2272 3632 4096 4544 7264 9088 14528 16117 18176 29056 32234 36352 58112 64468 72704 116224 128936 145408 232448 257872 290816 464896 515744 929792 1031488 2062976 4125952 8251904 16503808 33007616 66015232