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66103620 = 223511472131
BaseRepresentation
bin1111110000101…
…0100101000100
311121101102010020
43330022211010
5113410303440
610320455140
71431604632
oct374124504
9147342106
1066103620
113434a6a0
121a17a4b0
131090618b
148aca352
155c0b3d0
hex3f0a944

66103620 has 96 divisors (see below), whose sum is σ = 206309376. Its totient is φ = 15676800.

The previous prime is 66103619. The next prime is 66103643. The reversal of 66103620 is 2630166.

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, 29955 + ... + 32085.

It is an arithmetic number, because the mean of its divisors is an integer number (2149056).

Almost surely, 266103620 is an apocalyptic number.

66103620 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 66103620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103154688).

66103620 is an abundant number, since it is smaller than the sum of its proper divisors (140205756).

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

66103620 is a wasteful number, since it uses less digits than its factorization.

66103620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 66103620 is about 8130.4132736288. The cubic root of 66103620 is about 404.3353830392.

Adding to 66103620 its reverse (2630166), we get a palindrome (68733786).

The spelling of 66103620 in words is "sixty-six million, one hundred three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2131 2585 2820 3102 4262 5170 6204 6393 7755 8524 10340 10655 12786 15510 21310 23441 25572 31020 31965 42620 46882 63930 70323 93764 100157 117205 127860 140646 200314 234410 281292 300471 351615 400628 468820 500785 600942 703230 1001570 1101727 1201884 1406460 1502355 2003140 2203454 3004710 3305181 4406908 5508635 6009420 6610362 11017270 13220724 16525905 22034540 33051810 66103620