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66648540 = 22357891783
BaseRepresentation
bin1111111000111…
…1100111011100
311122102002121110
43332033213130
5114030223130
610340302020
71436334420
oct376174734
9148362543
1066648540
1134692042
121a3a1910
1310a6720a
148bccb80
155cb7ab0
hex3f8f9dc

66648540 has 96 divisors (see below), whose sum is σ = 215792640. Its totient is φ = 15054336.

The previous prime is 66648521. The next prime is 66648553. The reversal of 66648540 is 4584666.

It is a congruent number.

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, 36489 + ... + 38271.

It is an arithmetic number, because the mean of its divisors is an integer number (2247840).

Almost surely, 266648540 is an apocalyptic number.

66648540 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 66648540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107896320).

66648540 is an abundant number, since it is smaller than the sum of its proper divisors (149144100).

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

66648540 is a wasteful number, since it uses less digits than its factorization.

66648540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 66648540 is about 8163.8557067111. The cubic root of 66648540 is about 405.4433796909.

The spelling of 66648540 in words is "sixty-six million, six hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 89 105 140 178 210 267 356 420 445 534 623 890 1068 1246 1335 1780 1783 1869 2492 2670 3115 3566 3738 5340 5349 6230 7132 7476 8915 9345 10698 12460 12481 17830 18690 21396 24962 26745 35660 37380 37443 49924 53490 62405 74886 106980 124810 149772 158687 187215 249620 317374 374430 476061 634748 748860 793435 952122 1110809 1586870 1904244 2221618 2380305 3173740 3332427 4443236 4760610 5554045 6664854 9521220 11108090 13329708 16662135 22216180 33324270 66648540