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66060040 = 23543193199
BaseRepresentation
bin1111101111111…
…1111100001000
311121022012100011
43323333330020
5113402410130
610315521304
71431333604
oct373777410
9147265304
1066060040
113431a982
121a159234
13108bc3a7
148ab8504
155bed52a
hex3efff08

66060040 has 64 divisors (see below), whose sum is σ = 153648000. Its totient is φ = 25546752.

The previous prime is 66060031. The next prime is 66060053. The reversal of 66060040 is 4006066.

It is a junction number, because it is equal to n+sod(n) for n = 66059993 and 66060020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331861 + ... + 332059.

It is an arithmetic number, because the mean of its divisors is an integer number (2400750).

Almost surely, 266060040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66060040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76824000).

66060040 is an abundant number, since it is smaller than the sum of its proper divisors (87587960).

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

66060040 is a wasteful number, since it uses less digits than its factorization.

66060040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 66060040 is about 8127.7327711976. The cubic root of 66060040 is about 404.2465083819.

The spelling of 66060040 in words is "sixty-six million, sixty thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 20 40 43 86 172 193 199 215 344 386 398 430 772 796 860 965 995 1544 1592 1720 1930 1990 3860 3980 7720 7960 8299 8557 16598 17114 33196 34228 38407 41495 42785 66392 68456 76814 82990 85570 153628 165980 171140 192035 307256 331960 342280 384070 768140 1536280 1651501 3303002 6606004 8257505 13212008 16515010 33030020 66060040