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65141312 = 263727509
BaseRepresentation
bin1111100001111…
…1101001000000
311112120112002012
43320133221000
5113134010222
610244112052
71420456235
oct370375100
9145515065
1065141312
11338526a5
1219995628
131065a172
14891978c
155abb1e2
hex3e1fa40

65141312 has 28 divisors (see below), whose sum is σ = 132763260. Its totient is φ = 31689216.

The previous prime is 65141303. The next prime is 65141317. The reversal of 65141312 is 21314156.

65141312 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 29333056 + 35808256 = 5416^2 + 5984^2 .

It is not an unprimeable number, because it can be changed into a prime (65141317) 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, 11387 + ... + 16122.

It is an arithmetic number, because the mean of its divisors is an integer number (4741545).

Almost surely, 265141312 is an apocalyptic number.

It is an amenable number.

65141312 is an abundant number, since it is smaller than the sum of its proper divisors (67621948).

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

65141312 is a wasteful number, since it uses less digits than its factorization.

65141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27558 (or 27548 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 65141312 is about 8071.0167884846. The cubic root of 65141312 is about 402.3637376796.

Adding to 65141312 its reverse (21314156), we get a palindrome (86455468).

The spelling of 65141312 in words is "sixty-five million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 27509 55018 110036 220072 440144 880288 1017833 1760576 2035666 4071332 8142664 16285328 32570656 65141312