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2100820 = 225234567
BaseRepresentation
bin1000000000111001010100
310221201210011
420000321110
51014211240
6113010004
723566561
oct10007124
93851704
102100820
111205417
12853904
135872b7
143c9868
152b76ea
hex200e54

2100820 has 24 divisors (see below), whose sum is σ = 4604544. Its totient is φ = 803616.

The previous prime is 2100803. The next prime is 2100821. The reversal of 2100820 is 280012.

It is a self number, because there is not a number n which added to its sum of digits gives 2100820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100821) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1824 + ... + 2743.

It is an arithmetic number, because the mean of its divisors is an integer number (191856).

22100820 is an apocalyptic number.

2100820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100820 is an abundant number, since it is smaller than the sum of its proper divisors (2503724).

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

2100820 is a wasteful number, since it uses less digits than its factorization.

2100820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2100820 is about 1449.4205738846. The cubic root of 2100820 is about 128.0745821856.

Adding to 2100820 its reverse (280012), we get a palindrome (2380832).

The spelling of 2100820 in words is "two million, one hundred thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 4567 9134 18268 22835 45670 91340 105041 210082 420164 525205 1050410 2100820