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66214260 = 2234575839
BaseRepresentation
bin1111110010010…
…1100101110100
311121121000220000
43330211211310
5113422324020
610323111300
71432545330
oct374454564
9147530800
1066214260
1134415832
121a212530
1310944648
148b187c0
155c2e090
hex3f25974

66214260 has 120 divisors (see below), whose sum is σ = 237431040. Its totient is φ = 15132096.

The previous prime is 66214241. The next prime is 66214277. The reversal of 66214260 is 6241266.

It is a happy number.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8421 + ... + 14259.

It is an arithmetic number, because the mean of its divisors is an integer number (1978592).

Almost surely, 266214260 is an apocalyptic number.

66214260 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 66214260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118715520).

66214260 is an abundant number, since it is smaller than the sum of its proper divisors (171216780).

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

66214260 is a wasteful number, since it uses less digits than its factorization.

66214260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5867 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66214260 is about 8137.2145111211. The cubic root of 66214260 is about 404.5608408451.

The spelling of 66214260 in words is "sixty-six million, two hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 5839 11340 11678 17517 23356 29195 35034 40873 52551 58390 70068 81746 87585 105102 116780 122619 157653 163492 175170 204365 210204 245238 262755 315306 350340 367857 408730 472959 490476 525510 613095 630612 735714 788265 817460 945918 1051020 1103571 1226190 1471428 1576530 1839285 1891836 2207142 2364795 2452380 3153060 3310713 3678570 4414284 4729590 5517855 6621426 7357140 9459180 11035710 13242852 16553565 22071420 33107130 66214260