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65532330 = 23251922017
BaseRepresentation
bin1111100111111…
…1000110101010
311120022101110100
43321333012222
5113234013310
610300330230
71424005233
oct371770652
9146271410
1065532330
1133a9a456
1219b43976
1310766136
1489bc08a
155b46ec0
hex3e7f1aa

65532330 has 72 divisors (see below), whose sum is σ = 179912772. Its totient is φ = 16547328.

The previous prime is 65532323. The next prime is 65532343. The reversal of 65532330 is 3323556.

65532330 is a `hidden beast` number, since 655 + 3 + 2 + 3 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64593369 + 938961 = 8037^2 + 969^2 .

It is a junction number, because it is equal to n+sod(n) for n = 65532294 and 65532303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31482 + ... + 33498.

Almost surely, 265532330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65532330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89956386).

65532330 is an abundant number, since it is smaller than the sum of its proper divisors (114380442).

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

65532330 is a wasteful number, since it uses less digits than its factorization.

65532330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 65532330 is about 8095.2041357831. The cubic root of 65532330 is about 403.1672099303.

Adding to 65532330 its reverse (3323556), we get a palindrome (68855886).

The spelling of 65532330 in words is "sixty-five million, five hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 361 570 722 855 1083 1710 1805 2017 2166 3249 3610 4034 5415 6051 6498 10085 10830 12102 16245 18153 20170 30255 32490 36306 38323 60510 76646 90765 114969 181530 191615 229938 344907 383230 574845 689814 728137 1149690 1456274 1724535 2184411 3449070 3640685 4368822 6553233 7281370 10922055 13106466 21844110 32766165 65532330