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66252330 = 2345263311
BaseRepresentation
bin1111110010111…
…0111000101010
311121122222010000
43330232320222
5113430033310
610324003430
71433064324
oct374567052
9147588100
1066252330
11344413a1
121a230576
1310958a81
148b28614
155c3a4c0
hex3f2ee2a

66252330 has 80 divisors (see below), whose sum is σ = 179397504. Its totient is φ = 17543520.

The previous prime is 66252317. The next prime is 66252337. The reversal of 66252330 is 3325266.

66252330 is a `hidden beast` number, since 6 + 625 + 2 + 3 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 66252294 and 66252303.

It is not an unprimeable number, because it can be changed into a prime (66252337) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 212875 + ... + 213185.

Almost surely, 266252330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66252330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89698752).

66252330 is an abundant number, since it is smaller than the sum of its proper divisors (113145174).

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

66252330 is a wasteful number, since it uses less digits than its factorization.

66252330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 66252330 is about 8139.5534275536. The cubic root of 66252330 is about 404.6383603020.

Adding to 66252330 its reverse (3325266), we get a palindrome (69577596).

The spelling of 66252330 in words is "sixty-six million, two hundred fifty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 263 270 311 405 526 622 789 810 933 1315 1555 1578 1866 2367 2630 2799 3110 3945 4665 4734 5598 7101 7890 8397 9330 11835 13995 14202 16794 21303 23670 25191 27990 35505 41985 42606 50382 71010 81793 83970 106515 125955 163586 213030 245379 251910 408965 490758 736137 817930 1226895 1472274 2208411 2453790 3680685 4416822 6625233 7361370 11042055 13250466 22084110 33126165 66252330