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65042320 = 2457196113
BaseRepresentation
bin1111100000011…
…1011110010000
311112101111021211
43320013132100
5113122323240
610242025504
71416564520
oct370073620
9145344254
1065042320
1133795292
1219948294
13106240a5
1488d1680
155a9bbea
hex3e07790

65042320 has 80 divisors (see below), whose sum is σ = 181952640. Its totient is φ = 21123072.

The previous prime is 65042297. The next prime is 65042333. The reversal of 65042320 is 2324056.

It is a happy number.

65042320 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 (80).

It is a junction number, because it is equal to n+sod(n) for n = 65042291 and 65042300.

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 15 ways as a sum of consecutive naturals, for example, 7584 + ... + 13696.

It is an arithmetic number, because the mean of its divisors is an integer number (2274408).

Almost surely, 265042320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90976320).

65042320 is an abundant number, since it is smaller than the sum of its proper divisors (116910320).

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

65042320 is a wasteful number, since it uses less digits than its factorization.

65042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6152 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 65042320 is about 8064.8818962214. The cubic root of 65042320 is about 402.1598169866.

Adding to 65042320 its reverse (2324056), we get a palindrome (67366376).

The spelling of 65042320 in words is "sixty-five million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 6113 10640 12226 24452 30565 42791 48904 61130 85582 97808 116147 122260 171164 213955 232294 244520 342328 427910 464588 489040 580735 684656 813029 855820 929176 1161470 1626058 1711640 1858352 2322940 3252116 3423280 4065145 4645880 6504232 8130290 9291760 13008464 16260580 32521160 65042320