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1664256 = 28311197
BaseRepresentation
bin110010110010100000000
310010112221010
412112110000
5411224011
655400520
720101026
oct6262400
93115833
101664256
11a37420
12683140
13463689
14314716
1522d1a6
hex196500

1664256 has 72 divisors (see below), whose sum is σ = 4856544. Its totient is φ = 501760.

The previous prime is 1664251. The next prime is 1664261. The reversal of 1664256 is 6524661.

It is an interprime number because it is at equal distance from previous prime (1664251) and next prime (1664261).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8350 + ... + 8546.

It is an arithmetic number, because the mean of its divisors is an integer number (67452).

21664256 is an apocalyptic number.

1664256 is a gapful number since it is divisible by the number (16) 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 1664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428272).

1664256 is an abundant number, since it is smaller than the sum of its proper divisors (3192288).

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

1664256 is a wasteful number, since it uses less digits than its factorization.

1664256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 1664256 is about 1290.0604636993. The cubic root of 1664256 is about 118.5059193397.

The spelling of 1664256 in words is "one million, six hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 197 256 264 352 384 394 528 591 704 768 788 1056 1182 1408 1576 2112 2167 2364 2816 3152 4224 4334 4728 6304 6501 8448 8668 9456 12608 13002 17336 18912 25216 26004 34672 37824 50432 52008 69344 75648 104016 138688 151296 208032 277376 416064 554752 832128 1664256