Search a number
-
+
66240180 = 22345311319
BaseRepresentation
bin1111110010101…
…1111010110100
311121122100110000
43330223322310
5113424141210
610323431300
71433014026
oct374537264
9147570400
1066240180
1134433256
121a225530
1310953396
148b24016
155c36ac0
hex3f2beb4

66240180 has 120 divisors (see below), whose sum is σ = 214663680. Its totient is φ = 17081280.

The previous prime is 66240173. The next prime is 66240191. The reversal of 66240180 is 8104266.

It is a super-2 number, since 2×662401802 = 8775522892864800, which contains 22 as substring.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 49561 + ... + 50879.

It is an arithmetic number, because the mean of its divisors is an integer number (1788864).

Almost surely, 266240180 is an apocalyptic number.

66240180 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66240180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107331840).

66240180 is an abundant number, since it is smaller than the sum of its proper divisors (148423500).

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

66240180 is a wasteful number, since it uses less digits than its factorization.

66240180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 66240180 is about 8138.8070378895. The cubic root of 66240180 is about 404.6136232770.

The spelling of 66240180 in words is "sixty-six million, two hundred forty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 810 837 930 1116 1319 1395 1620 1674 1860 2511 2638 2790 3348 3957 4185 5022 5276 5580 6595 7914 8370 10044 11871 12555 13190 15828 16740 19785 23742 25110 26380 35613 39570 40889 47484 50220 59355 71226 79140 81778 106839 118710 122667 142452 163556 178065 204445 213678 237420 245334 356130 368001 408890 427356 490668 534195 613335 712260 736002 817780 1068390 1104003 1226670 1472004 1840005 2136780 2208006 2453340 3312009 3680010 4416012 5520015 6624018 7360020 11040030 13248036 16560045 22080060 33120090 66240180