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2067712 = 2841197
BaseRepresentation
bin111111000110100000000
310220001100221
413320310000
51012131322
6112152424
723401213
oct7706400
93801327
102067712
111192559
12838714
135751ca
143bb77a
152ac9c7
hex1f8d00

2067712 has 36 divisors (see below), whose sum is σ = 4249476. Its totient is φ = 1003520.

The previous prime is 2067697. The next prime is 2067719. The reversal of 2067712 is 2177602.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 952576 = 1056^2 + 976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067719) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10398 + ... + 10594.

It is an arithmetic number, because the mean of its divisors is an integer number (118041).

22067712 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 2067712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124738).

2067712 is an abundant number, since it is smaller than the sum of its proper divisors (2181764).

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

2067712 is an equidigital number, since it uses as much as digits as its factorization.

2067712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 2067712 is about 1437.9541021882. The cubic root of 2067712 is about 127.3982168587.

The spelling of 2067712 in words is "two million, sixty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 197 256 328 394 656 788 1312 1576 2624 3152 5248 6304 8077 10496 12608 16154 25216 32308 50432 64616 129232 258464 516928 1033856 2067712