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66016080 = 24335132351
BaseRepresentation
bin1111101111010…
…1001101010000
311121012222001000
43323311031100
5113400003310
610314542000
71431061464
oct373651520
9147188030
1066016080
113429a949
121a137900
13108a5390
148aa64a4
155be04c0
hex3ef5350

66016080 has 160 divisors (see below), whose sum is σ = 244984320. Its totient is φ = 16243200.

The previous prime is 66016063. The next prime is 66016087. The reversal of 66016080 is 8061066.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66016087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26905 + ... + 29255.

It is an arithmetic number, because the mean of its divisors is an integer number (1531152).

Almost surely, 266016080 is an apocalyptic number.

66016080 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 66016080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122492160).

66016080 is an abundant number, since it is smaller than the sum of its proper divisors (178968240).

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

66016080 is a wasteful number, since it uses less digits than its factorization.

66016080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 66016080 is about 8125.0279999518. The cubic root of 66016080 is about 404.1568191647.

The spelling of 66016080 in words is "sixty-six million, sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2351 2808 3120 3510 4680 4702 5616 7020 7053 9360 9404 11755 14040 14106 18808 21159 23510 28080 28212 30563 35265 37616 42318 47020 56424 61126 63477 70530 84636 91689 94040 105795 112848 122252 126954 141060 152815 169272 183378 188080 211590 244504 253908 275067 282120 305630 317385 338544 366756 423180 458445 489008 507816 550134 564240 611260 634770 733512 825201 846360 916890 1015632 1100268 1222520 1269540 1375335 1467024 1650402 1692720 1833780 2200536 2445040 2539080 2750670 3300804 3667560 4126005 4401072 5078160 5501340 6601608 7335120 8252010 11002680 13203216 16504020 22005360 33008040 66016080