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7066256 = 242997157
BaseRepresentation
bin11010111101001010010000
3111022000002012
4122331022100
53302110011
6411242052
7114030221
oct32751220
914260065
107066256
113a96a8a
122449328
131605422
14d1d248
15948a8b
hex6bd290

7066256 has 40 divisors (see below), whose sum is σ = 14400120. Its totient is φ = 3354624.

The previous prime is 7066249. The next prime is 7066259. The reversal of 7066256 is 6526607.

It can be written as a sum of positive squares in 4 ways, for example, as 512656 + 6553600 = 716^2 + 2560^2 .

It is not an unprimeable number, because it can be changed into a prime (7066259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44930 + ... + 45086.

It is an arithmetic number, because the mean of its divisors is an integer number (360003).

Almost surely, 27066256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7066256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7200060).

7066256 is an abundant number, since it is smaller than the sum of its proper divisors (7333864).

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

7066256 is a wasteful number, since it uses less digits than its factorization.

7066256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 7066256 is about 2658.2430287692. The cubic root of 7066256 is about 191.8947629309.

The spelling of 7066256 in words is "seven million, sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 29 58 97 116 157 194 232 314 388 464 628 776 1256 1552 2512 2813 4553 5626 9106 11252 15229 18212 22504 30458 36424 45008 60916 72848 121832 243664 441641 883282 1766564 3533128 7066256