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64106865 = 3252322693
BaseRepresentation
bin1111010010001…
…1000101110001
311110121222002100
43310203011301
5112402404430
610210011013
71405620324
oct364430561
9143558070
1064106865
1133206489
1219576a69
1310387374
14872a7bb
155964960
hex3d23171

64106865 has 36 divisors (see below), whose sum is σ = 116202996. Its totient is φ = 32691648.

The previous prime is 64106837. The next prime is 64106869. The reversal of 64106865 is 56860146.

64106865 is a `hidden beast` number, since 641 + 0 + 6 + 8 + 6 + 5 = 666.

64106865 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 24681024 + 39425841 = 4968^2 + 6279^2 .

It is not a de Polignac number, because 64106865 - 27 = 64106737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (64106869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22459 + ... + 25151.

It is an arithmetic number, because the mean of its divisors is an integer number (3227861).

Almost surely, 264106865 is an apocalyptic number.

It is an amenable number.

64106865 is a deficient number, since it is larger than the sum of its proper divisors (52096131).

64106865 is a wasteful number, since it uses less digits than its factorization.

64106865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 64106865 is about 8006.6762767081. The cubic root of 64106865 is about 400.2225116152. Note that the first 3 decimals are identical.

It can be divided in two parts, 64 and 106865, that added together give a square (106929 = 3272).

The spelling of 64106865 in words is "sixty-four million, one hundred six thousand, eight hundred sixty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 529 1035 1587 2645 2693 4761 7935 8079 13465 23805 24237 40395 61939 121185 185817 309695 557451 929085 1424597 2787255 4273791 7122985 12821373 21368955 64106865