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2121700 = 225272433
BaseRepresentation
bin1000000101111111100100
310222210102111
420011333210
51020343300
6113250404
724014500
oct10057744
93883374
102121700
11121a079
12863a04
13593959
143d3300
152bd9ba
hex205fe4

2121700 has 54 divisors (see below), whose sum is σ = 5368146. Its totient is φ = 725760.

The previous prime is 2121683. The next prime is 2121737. The reversal of 2121700 is 71212.

2121700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1764 + 2119936 = 42^2 + 1456^2 .

It is a super-2 number, since 2×21217002 = 9003221780000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4684 + ... + 5116.

22121700 is an apocalyptic number.

2121700 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 2121700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684073).

2121700 is an abundant number, since it is smaller than the sum of its proper divisors (3246446).

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

2121700 is a wasteful number, since it uses less digits than its factorization.

2121700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 2121700 is about 1456.6056432679. The cubic root of 2121700 is about 128.4974942357.

Adding to 2121700 its reverse (71212), we get a palindrome (2192912).

The spelling of 2121700 in words is "two million, one hundred twenty-one thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 433 490 700 866 980 1225 1732 2165 2450 3031 4330 4900 6062 8660 10825 12124 15155 21217 21650 30310 42434 43300 60620 75775 84868 106085 151550 212170 303100 424340 530425 1060850 2121700