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65740064 = 2513158029
BaseRepresentation
bin1111101011000…
…1110100100000
311120200221102012
43322301310200
5113312140224
610305012052
71425531665
oct372616440
9146627365
1065740064
1134121535
121a024028
1310809860
148a33a6c
155b8880e
hex3eb1d20

65740064 has 24 divisors (see below), whose sum is σ = 139382460. Its totient is φ = 30341376.

The previous prime is 65740063. The next prime is 65740069. The reversal of 65740064 is 46004756.

65740064 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 65739664 + 400 = 8108^2 + 20^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 65740064.

It is not an unprimeable number, because it can be changed into a prime (65740063) 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 3 ways as a sum of consecutive naturals, for example, 78599 + ... + 79430.

Almost surely, 265740064 is an apocalyptic number.

It is an amenable number.

65740064 is an abundant number, since it is smaller than the sum of its proper divisors (73642396).

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

65740064 is a wasteful number, since it uses less digits than its factorization.

65740064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158052 (or 158044 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 65740064 is about 8108.0246669580. The cubic root of 65740064 is about 403.5927667851.

The spelling of 65740064 in words is "sixty-five million, seven hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 158029 316058 632116 1264232 2054377 2528464 4108754 5056928 8217508 16435016 32870032 65740064