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65130144 = 2534491511
BaseRepresentation
bin1111100001110…
…0111010100000
311112112221202120
43320130322200
5113133131034
610243544240
71420411542
oct370347240
9145487676
1065130144
1133845272
121998b080
1310655061
148915692
155ab7c49
hex3e1cea0

65130144 has 48 divisors (see below), whose sum is σ = 171460800. Its totient is φ = 21647360.

The previous prime is 65130137. The next prime is 65130173. The reversal of 65130144 is 44103156.

65130144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 42349 + ... + 43859.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 265130144 is an apocalyptic number.

It is an amenable number.

65130144 is an abundant number, since it is smaller than the sum of its proper divisors (106330656).

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

65130144 is a wasteful number, since it uses less digits than its factorization.

65130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 65130144 is about 8070.3249005229. The cubic root of 65130144 is about 402.3407422619.

The spelling of 65130144 in words is "sixty-five million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 449 898 1347 1511 1796 2694 3022 3592 4533 5388 6044 7184 9066 10776 12088 14368 18132 21552 24176 36264 43104 48352 72528 145056 678439 1356878 2035317 2713756 4070634 5427512 8141268 10855024 16282536 21710048 32565072 65130144