Search a number
-
+
66001230 = 2355157173
BaseRepresentation
bin1111101111000…
…1100101001110
311121012012200000
43323301211032
5113344014410
610314345130
71431000261
oct373614516
9147165600
1066001230
113428a779
121a12b1a6
131089b6a9
148aa0cd8
155bdadc0
hex3ef194e

66001230 has 96 divisors (see below), whose sum is σ = 180127584. Its totient is φ = 17387136.

The previous prime is 66001217. The next prime is 66001249. The reversal of 66001230 is 3210066.

It is a happy number.

66001230 is a `hidden beast` number, since 660 + 0 + 1 + 2 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

66001230 is a modest number, since divided by 1230 gives 660 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381424 + ... + 381596.

It is an arithmetic number, because the mean of its divisors is an integer number (1876329).

Almost surely, 266001230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66001230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90063792).

66001230 is an abundant number, since it is smaller than the sum of its proper divisors (114126354).

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

66001230 is a wasteful number, since it uses less digits than its factorization.

66001230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 66001230 is about 8124.1141055502. The cubic root of 66001230 is about 404.1265125139.

Adding to 66001230 its reverse (3210066), we get a palindrome (69211296).

The spelling of 66001230 in words is "sixty-six million, one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 157 162 173 243 270 314 346 405 471 486 519 785 810 865 942 1038 1215 1413 1557 1570 1730 2355 2430 2595 2826 3114 4239 4671 4710 5190 7065 7785 8478 9342 12717 14013 14130 15570 21195 23355 25434 27161 28026 38151 42039 42390 46710 54322 63585 70065 76302 81483 84078 127170 135805 140130 162966 190755 210195 244449 271610 381510 407415 420390 488898 733347 814830 1222245 1466694 2200041 2444490 3666735 4400082 6600123 7333470 11000205 13200246 22000410 33000615 66001230