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66330440 = 23511233647
BaseRepresentation
bin1111110100000…
…1111101001000
311121210221020222
43331001331020
5113440033230
610325405212
71433541131
oct375017510
9147727228
1066330440
1134495050
121a269808
13109854a7
148b48c88
155c536e5
hex3f41f48

66330440 has 64 divisors (see below), whose sum is σ = 163762560. Its totient is φ = 23979520.

The previous prime is 66330431. The next prime is 66330461. The reversal of 66330440 is 4403366.

66330440 = T89 + T90 + ... + T735.

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, 102197 + ... + 102843.

It is an arithmetic number, because the mean of its divisors is an integer number (2558790).

Almost surely, 266330440 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 66330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81881280).

66330440 is an abundant number, since it is smaller than the sum of its proper divisors (97432120).

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

66330440 is a wasteful number, since it uses less digits than its factorization.

66330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 66330440 is about 8144.3501889347. The cubic root of 66330440 is about 404.7973176771.

The spelling of 66330440 in words is "sixty-six million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 233 440 466 647 932 1165 1294 1864 2330 2563 2588 3235 4660 5126 5176 6470 7117 9320 10252 12815 12940 14234 20504 25630 25880 28468 35585 51260 56936 71170 102520 142340 150751 284680 301502 603004 753755 1206008 1507510 1658261 3015020 3316522 6030040 6633044 8291305 13266088 16582610 33165220 66330440