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2067828 = 2237103239
BaseRepresentation
bin111111000110101110100
310220001112020
413320311310
51012132303
6112153140
723401440
oct7706564
93801466
102067828
111192654
128387b0
13575289
143bb820
152aca53
hex1f8d74

2067828 has 48 divisors (see below), whose sum is σ = 5591040. Its totient is φ = 582624.

The previous prime is 2067823. The next prime is 2067851. The reversal of 2067828 is 8287602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8533 + ... + 8771.

It is an arithmetic number, because the mean of its divisors is an integer number (116480).

22067828 is an apocalyptic number.

2067828 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 2067828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795520).

2067828 is an abundant number, since it is smaller than the sum of its proper divisors (3523212).

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

2067828 is a wasteful number, since it uses less digits than its factorization.

2067828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2067828 is about 1437.9944367069. The cubic root of 2067828 is about 127.4005991887.

It can be divided in two parts, 20678 and 28, that added together give a triangular number (20706 = T203).

The spelling of 2067828 in words is "two million, sixty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 206 239 309 412 478 618 717 721 956 1236 1434 1442 1673 2163 2868 2884 3346 4326 5019 6692 8652 10038 20076 24617 49234 73851 98468 147702 172319 295404 344638 516957 689276 1033914 2067828