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2100928 = 26171931
BaseRepresentation
bin1000000000111011000000
310221201221011
420000323000
51014212203
6113010304
723600104
oct10007300
93851834
102100928
111205505
12853994
1358736b
143c9904
152b776d
hex200ec0

2100928 has 28 divisors (see below), whose sum is σ = 4416552. Its totient is φ = 988160.

The previous prime is 2100913. The next prime is 2100929. The reversal of 2100928 is 8290012.

It is a super-2 number, since 2×21009282 = 8827796922368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100899 and 2100908.

It is not an unprimeable number, because it can be changed into a prime (2100929) 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, 123 + ... + 2053.

It is an arithmetic number, because the mean of its divisors is an integer number (157734).

22100928 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 2100928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208276).

2100928 is an abundant number, since it is smaller than the sum of its proper divisors (2315624).

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

2100928 is a wasteful number, since it uses less digits than its factorization.

2100928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2100928 is about 1449.4578296729. The cubic root of 2100928 is about 128.0767768552.

The spelling of 2100928 in words is "two million, one hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 1931 3862 7724 15448 30896 32827 61792 65654 123584 131308 262616 525232 1050464 2100928