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66045630 = 23572179251
BaseRepresentation
bin1111101111110…
…0011010111110
311121021110120110
43323330122332
5113401430010
610315330450
71431243600
oct373743276
9147243513
1066045630
1134310072
121a150a26
13108b5971
148ab3170
155be9120
hex3efc6be

66045630 has 96 divisors (see below), whose sum is σ = 186157440. Its totient is φ = 14952000.

The previous prime is 66045619. The next prime is 66045631. The reversal of 66045630 is 3654066.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66045631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263005 + ... + 263255.

It is an arithmetic number, because the mean of its divisors is an integer number (1939140).

Almost surely, 266045630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66045630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93078720).

66045630 is an abundant number, since it is smaller than the sum of its proper divisors (120111810).

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

66045630 is a wasteful number, since it uses less digits than its factorization.

66045630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 66045630 is about 8126.8462517757. The cubic root of 66045630 is about 404.2171128209.

Adding to 66045630 its reverse (3654066), we get a palindrome (69699696).

The spelling of 66045630 in words is "sixty-six million, forty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 179 210 245 251 294 358 490 502 537 735 753 895 1074 1253 1255 1470 1506 1757 1790 2506 2510 2685 3514 3759 3765 5271 5370 6265 7518 7530 8771 8785 10542 12299 12530 17542 17570 18795 24598 26313 26355 36897 37590 43855 44929 52626 52710 61495 73794 87710 89858 122990 131565 134787 184485 224645 263130 269574 314503 368970 449290 629006 673935 943509 1347870 1572515 1887018 2201521 3145030 4403042 4717545 6604563 9435090 11007605 13209126 22015210 33022815 66045630