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65065729 = 417732053
BaseRepresentation
bin1111100000110…
…1001100000001
311112102200101211
43320031030001
5113124100404
610242330121
71420023001
oct370151401
9145380354
1065065729
1133800933
1219959941
1310631941
1488da001
155aa3b04
hex3e0d301

65065729 has 8 divisors (see below), whose sum is σ = 66771432. Its totient is φ = 63365760.

The previous prime is 65065727. The next prime is 65065769. The reversal of 65065729 is 92756056.

It can be written as a sum of positive squares in 4 ways, for example, as 1385329 + 63680400 = 1177^2 + 7980^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 65065729 - 21 = 65065727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 65065691 and 65065700.

It is not an unprimeable number, because it can be changed into a prime (65065727) 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 7 ways as a sum of consecutive naturals, for example, 30667 + ... + 32719.

It is an arithmetic number, because the mean of its divisors is an integer number (8346429).

Almost surely, 265065729 is an apocalyptic number.

It is an amenable number.

65065729 is a deficient number, since it is larger than the sum of its proper divisors (1705703).

65065729 is a wasteful number, since it uses less digits than its factorization.

65065729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867.

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 65065729 is about 8066.3330578399. Note that the first 3 decimals coincide. The cubic root of 65065729 is about 402.2080575269.

The spelling of 65065729 in words is "sixty-five million, sixty-five thousand, seven hundred twenty-nine".

Divisors: 1 41 773 2053 31693 84173 1586969 65065729