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2102900 = 2252171237
BaseRepresentation
bin1000000001011001110100
310221211122012
420001121310
51014243100
6113023352
723605622
oct10013164
93854565
102102900
111206a38
12854b58
13588227
143ca512
152b8135
hex201674

2102900 has 36 divisors (see below), whose sum is σ = 4835628. Its totient is φ = 791040.

The previous prime is 2102897. The next prime is 2102927. The reversal of 2102900 is 92012.

It can be written as a sum of positive squares in 6 ways, for example, as 40804 + 2062096 = 202^2 + 1436^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1082 + ... + 2318.

It is an arithmetic number, because the mean of its divisors is an integer number (134323).

22102900 is an apocalyptic number.

2102900 is a gapful number since it is divisible by the number (20) 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 2102900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417814).

2102900 is an abundant number, since it is smaller than the sum of its proper divisors (2732728).

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

2102900 is a wasteful number, since it uses less digits than its factorization.

2102900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2102900 is about 1450.1379244748. The cubic root of 2102900 is about 128.1168366800.

Adding to 2102900 its reverse (92012), we get a palindrome (2194912).

The spelling of 2102900 in words is "two million, one hundred two thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1237 1700 2474 4948 6185 12370 21029 24740 30925 42058 61850 84116 105145 123700 210290 420580 525725 1051450 2102900