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2067268 = 2271743101
BaseRepresentation
bin111111000101101000100
310220000202111
413320231010
51012123033
6112150404
723400010
oct7705504
93800674
102067268
111192195
12838404
13574c48
143bb540
152ac7cd
hex1f8b44

2067268 has 48 divisors (see below), whose sum is σ = 4523904. Its totient is φ = 806400.

The previous prime is 2067253. The next prime is 2067269. The reversal of 2067268 is 8627602.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2067269) 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 15 ways as a sum of consecutive naturals, for example, 20418 + ... + 20518.

It is an arithmetic number, because the mean of its divisors is an integer number (94248).

22067268 is an apocalyptic number.

2067268 is a gapful number since it is divisible by the number (28) 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 2067268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261952).

2067268 is an abundant number, since it is smaller than the sum of its proper divisors (2456636).

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

2067268 is a wasteful number, since it uses less digits than its factorization.

2067268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 2067268 is about 1437.7997078870. The cubic root of 2067268 is about 127.3890974621.

The spelling of 2067268 in words is "two million, sixty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 17 28 34 43 68 86 101 119 172 202 238 301 404 476 602 707 731 1204 1414 1462 1717 2828 2924 3434 4343 5117 6868 8686 10234 12019 17372 20468 24038 30401 48076 60802 73831 121604 147662 295324 516817 1033634 2067268