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2102828 = 2271353109
BaseRepresentation
bin1000000001011000101100
310221211112112
420001120230
51014242303
6113023152
723605460
oct10013054
93854475
102102828
111206982
12854ab8
135881a0
143ca4a0
152b80d8
hex20162c

2102828 has 48 divisors (see below), whose sum is σ = 4656960. Its totient is φ = 808704.

The previous prime is 2102809. The next prime is 2102831. The reversal of 2102828 is 8282012.

2102828 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19238 + ... + 19346.

It is an arithmetic number, because the mean of its divisors is an integer number (97020).

22102828 is an apocalyptic number.

2102828 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 2102828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328480).

2102828 is an abundant number, since it is smaller than the sum of its proper divisors (2554132).

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

2102828 is a wasteful number, since it uses less digits than its factorization.

2102828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 2102828 is about 1450.1130990375. The cubic root of 2102828 is about 128.1153744901.

The spelling of 2102828 in words is "two million, one hundred two thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 109 182 212 218 364 371 436 689 742 763 1378 1417 1484 1526 2756 2834 3052 4823 5668 5777 9646 9919 11554 19292 19838 23108 39676 40439 75101 80878 150202 161756 300404 525707 1051414 2102828