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2102128 = 2471372
BaseRepresentation
bin1000000001001101110000
310221210120121
420001031300
51014232003
6113020024
723603440
oct10011560
93853517
102102128
1112063a6
12854614
13587a82
143ca120
152b7cbd
hex201370

2102128 has 30 divisors (see below), whose sum is σ = 4688936. Its totient is φ = 894336.

The previous prime is 2102117. The next prime is 2102137. The reversal of 2102128 is 8212012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 15276 + ... + 15412.

22102128 is an apocalyptic number.

2102128 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 2102128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344468).

2102128 is an abundant number, since it is smaller than the sum of its proper divisors (2586808).

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

2102128 is an equidigital number, since it uses as much as digits as its factorization.

2102128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2102128 is about 1449.8717184634. The cubic root of 2102128 is about 128.1011570148.

The spelling of 2102128 in words is "two million, one hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 274 548 959 1096 1918 2192 3836 7672 15344 18769 37538 75076 131383 150152 262766 300304 525532 1051064 2102128