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2125300 = 225253401
BaseRepresentation
bin1000000110110111110100
310222222100211
420012313310
51021002200
6113315204
724031132
oct10066764
93888324
102125300
111221851
12865b04
13595498
143d4752
152beaba
hex206df4

2125300 has 36 divisors (see below), whose sum is σ = 4710636. Its totient is φ = 832000.

The previous prime is 2125273. The next prime is 2125313. The reversal of 2125300 is 35212.

2125300 = 2862 + 2872 + ... + 3092.

2125300 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 6 ways, for example, as 204304 + 1920996 = 452^2 + 1386^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 5100 + ... + 5500.

It is an arithmetic number, because the mean of its divisors is an integer number (130851).

22125300 is an apocalyptic number.

2125300 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 2125300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355318).

2125300 is an abundant number, since it is smaller than the sum of its proper divisors (2585336).

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

2125300 is a wasteful number, since it uses less digits than its factorization.

2125300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2125300 is about 1457.8408692309. The cubic root of 2125300 is about 128.5701293226.

It can be divided in two parts, 212 and 5300, that multiplied together give a square (1123600 = 10602).

The spelling of 2125300 in words is "two million, one hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 401 530 802 1060 1325 1604 2005 2650 4010 5300 8020 10025 20050 21253 40100 42506 85012 106265 212530 425060 531325 1062650 2125300