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66064020 = 223511199503
BaseRepresentation
bin1111110000000…
…0111010010100
311121022101210120
43330000322110
5113403022040
610315551540
71431351321
oct374007224
9147271716
1066064020
1134322970
121a15b5b0
13108c1149
148ab9b48
155bee7d0
hex3f00e94

66064020 has 96 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 15903360.

The previous prime is 66063983. The next prime is 66064043. The reversal of 66064020 is 2046066.

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, 131089 + ... + 131591.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 266064020 is an apocalyptic number.

66064020 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 66064020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

66064020 is an abundant number, since it is smaller than the sum of its proper divisors (137148780).

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

66064020 is a wasteful number, since it uses less digits than its factorization.

66064020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 66064020 is about 8127.9776082369. The cubic root of 66064020 is about 404.2546265967.

The spelling of 66064020 in words is "sixty-six million, sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 199 220 330 398 503 597 660 796 995 1006 1194 1509 1990 2012 2189 2388 2515 2985 3018 3980 4378 5030 5533 5970 6036 6567 7545 8756 10060 10945 11066 11940 13134 15090 16599 21890 22132 26268 27665 30180 32835 33198 43780 55330 65670 66396 82995 100097 110660 131340 165990 200194 300291 331980 400388 500485 600582 1000970 1101067 1201164 1501455 2001940 2202134 3002910 3303201 4404268 5505335 6005820 6606402 11010670 13212804 16516005 22021340 33032010 66064020