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66340890 = 23357113191
BaseRepresentation
bin1111110100010…
…0100000011010
311121211110121000
43331010200122
5113440402030
610325525430
71433613450
oct375044032
9147743530
1066340890
11344a1990
121a273876
131098a185
148b4c9d0
155c56860
hex3f4481a

66340890 has 128 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 13780800.

The previous prime is 66340877. The next prime is 66340891. The reversal of 66340890 is 9804366.

It is a super-2 number, since 2×663408902 = 8802227371984200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66340891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19195 + ... + 22385.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 266340890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66340890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

66340890 is an abundant number, since it is smaller than the sum of its proper divisors (154290150).

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

66340890 is a wasteful number, since it uses less digits than its factorization.

66340890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66340890 is about 8144.9917127030. The cubic root of 66340890 is about 404.8185744327.

The spelling of 66340890 in words is "sixty-six million, three hundred forty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 594 630 693 770 945 990 1155 1386 1485 1890 2079 2310 2970 3191 3465 4158 6382 6930 9573 10395 15955 19146 20790 22337 28719 31910 35101 44674 47865 57438 67011 70202 86157 95730 105303 111685 134022 143595 172314 175505 201033 210606 223370 245707 287190 315909 335055 351010 402066 430785 491414 526515 603099 631818 670110 737121 861570 947727 1005165 1053030 1206198 1228535 1474242 1579545 1895454 2010330 2211363 2457070 3015495 3159090 3685605 4422726 4738635 6030990 6634089 7371210 9477270 11056815 13268178 22113630 33170445 66340890