Search a number
-
+
65730330 = 23251742961
BaseRepresentation
bin1111101010111…
…1011100011010
311120200110001200
43322233130122
5113311332310
610304455030
71425461421
oct372573432
9146613050
1065730330
1134115196
121a01a476
13108052b3
148a302b8
155b859c0
hex3eaf71a

65730330 has 48 divisors (see below), whose sum is σ = 180955944. Its totient is φ = 16496640.

The previous prime is 65730319. The next prime is 65730341. The reversal of 65730330 is 3303756.

65730330 is a `hidden beast` number, since 657 + 3 + 0 + 3 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (65730319) and next prime (65730341).

It can be written as a sum of positive squares in 4 ways, for example, as 48316401 + 17413929 = 6951^2 + 4173^2 .

It is a junction number, because it is equal to n+sod(n) for n = 65730294 and 65730303.

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 23 ways as a sum of consecutive naturals, for example, 19951 + ... + 23010.

Almost surely, 265730330 is an apocalyptic number.

65730330 is an abundant number, since it is smaller than the sum of its proper divisors (115225614).

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

65730330 is a wasteful number, since it uses less digits than its factorization.

65730330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42991 (or 42988 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 65730330 is about 8107.4243752255. The cubic root of 65730330 is about 403.5728460769.

The spelling of 65730330 in words is "sixty-five million, seven hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 42961 85922 128883 214805 257766 386649 429610 644415 730337 773298 1288830 1460674 1933245 2191011 3651685 3866490 4382022 6573033 7303370 10955055 13146066 21910110 32865165 65730330