Search a number
-
+
66834512 = 24311271061
BaseRepresentation
bin1111111011110…
…1000001010000
311122202112201022
43332331001100
5114102201022
610344255012
71441040543
oct376750120
9148675638
1066834512
11347a9838
121a471468
1310b00a64
148c3a85a
155d02c42
hex3fbd050

66834512 has 40 divisors (see below), whose sum is σ = 134848512. Its totient is φ = 32054400.

The previous prime is 66834503. The next prime is 66834539. The reversal of 66834512 is 21543866.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62462 + ... + 63522.

Almost surely, 266834512 is an apocalyptic number.

66834512 is a gapful number since it is divisible by the number (62) 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 66834512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67424256).

66834512 is an abundant number, since it is smaller than the sum of its proper divisors (68014000).

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

66834512 is a wasteful number, since it uses less digits than its factorization.

66834512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1221 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 66834512 is about 8175.2377335463. The cubic root of 66834512 is about 405.8201375972.

The spelling of 66834512 in words is "sixty-six million, eight hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 127 248 254 496 508 1016 1061 2032 2122 3937 4244 7874 8488 15748 16976 31496 32891 62992 65782 131564 134747 263128 269494 526256 538988 1077976 2155952 4177157 8354314 16708628 33417256 66834512