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8214066 = 2327267139
BaseRepresentation
bin11111010101011000110010
3120110022120200
4133111120302
54100322231
6452020030
7126550500
oct37253062
916408520
108214066
114700393
122901616
1319179c3
14113b670
15ac3be6
hex7d5632

8214066 has 72 divisors (see below), whose sum is σ = 21162960. Its totient is φ = 2295216.

The previous prime is 8214029. The next prime is 8214071. The reversal of 8214066 is 6604128.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59025 + ... + 59163.

It is an arithmetic number, because the mean of its divisors is an integer number (293930).

Almost surely, 28214066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8214066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10581480).

8214066 is an abundant number, since it is smaller than the sum of its proper divisors (12948894).

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

8214066 is a wasteful number, since it uses less digits than its factorization.

8214066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8214066 is about 2866.0191904452. The cubic root of 8214066 is about 201.7682045273.

The spelling of 8214066 in words is "eight million, two hundred fourteen thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 67 98 126 134 139 147 201 278 294 402 417 441 469 603 834 882 938 973 1206 1251 1407 1946 2502 2814 2919 3283 4221 5838 6566 6811 8442 8757 9313 9849 13622 17514 18626 19698 20433 27939 29547 40866 55878 59094 61299 65191 83817 122598 130382 167634 195573 391146 456337 586719 912674 1173438 1369011 2738022 4107033 8214066