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66077220 = 223511531889
BaseRepresentation
bin1111110000010…
…0001000100100
311121100001220110
43330010020210
5113403432340
610320133020
71431434646
oct374041044
9147301813
1066077220
1134331880
121a167170
13108c7161
148ac0896
155c03680
hex3f04224

66077220 has 96 divisors (see below), whose sum is σ = 205752960. Its totient is φ = 15708160.

The previous prime is 66077189. The next prime is 66077233. The reversal of 66077220 is 2277066.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 34036 + ... + 35924.

It is an arithmetic number, because the mean of its divisors is an integer number (2143260).

Almost surely, 266077220 is an apocalyptic number.

66077220 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 66077220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102876480).

66077220 is an abundant number, since it is smaller than the sum of its proper divisors (139675740).

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

66077220 is a wasteful number, since it uses less digits than its factorization.

66077220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 66077220 is about 8128.7895777908. The cubic root of 66077220 is about 404.2815489957.

The spelling of 66077220 in words is "sixty-six million, seventy-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 106 110 132 159 165 212 220 265 318 330 530 583 636 660 795 1060 1166 1590 1749 1889 2332 2915 3180 3498 3778 5667 5830 6996 7556 8745 9445 11334 11660 17490 18890 20779 22668 28335 34980 37780 41558 56670 62337 83116 100117 103895 113340 124674 200234 207790 249348 300351 311685 400468 415580 500585 600702 623370 1001170 1101287 1201404 1246740 1501755 2002340 2202574 3003510 3303861 4405148 5506435 6007020 6607722 11012870 13215444 16519305 22025740 33038610 66077220