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66103020 = 22335163751
BaseRepresentation
bin1111110000101…
…0011011101100
311121101101022000
43330022123230
5113410244040
610320452300
71431603114
oct374123354
9147341260
1066103020
113434a1a5
121a17a090
1310905b19
148aca044
155c0b130
hex3f0a6ec

66103020 has 96 divisors (see below), whose sum is σ = 207191040. Its totient is φ = 17496000.

The previous prime is 66103019. The next prime is 66103039. The reversal of 66103020 is 2030166.

It is a happy number.

66103020 is a `hidden beast` number, since 6 + 610 + 30 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 66102984 and 66103002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87645 + ... + 88395.

It is an arithmetic number, because the mean of its divisors is an integer number (2158240).

Almost surely, 266103020 is an apocalyptic number.

66103020 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 66103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103595520).

66103020 is an abundant number, since it is smaller than the sum of its proper divisors (141088020).

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

66103020 is a wasteful number, since it uses less digits than its factorization.

66103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 924 counting only the distinct ones).

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

The square root of 66103020 is about 8130.3763750518. The cubic root of 66103020 is about 404.3341596974.

Adding to 66103020 its reverse (2030166), we get a palindrome (68133186).

The spelling of 66103020 in words is "sixty-six million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 163 180 270 326 489 540 652 751 815 978 1467 1502 1630 1956 2253 2445 2934 3004 3260 3755 4401 4506 4890 5868 6759 7335 7510 8802 9012 9780 11265 13518 14670 15020 17604 20277 22005 22530 27036 29340 33795 40554 44010 45060 67590 81108 88020 101385 122413 135180 202770 244826 367239 405540 489652 612065 734478 1101717 1224130 1468956 1836195 2203434 2448260 3305151 3672390 4406868 5508585 6610302 7344780 11017170 13220604 16525755 22034340 33051510 66103020