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2093300 = 2252112173
BaseRepresentation
bin111111111000011110100
310221100110122
413333003310
51013441200
6112511112
723535626
oct7770364
93840418
102093300
1111aa800
1284b498
13583a51
143c6c16
152b5385
hex1ff0f4

2093300 has 54 divisors (see below), whose sum is σ = 5021814. Its totient is φ = 756800.

The previous prime is 2093297. The next prime is 2093303. The reversal of 2093300 is 33902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2093297) and next prime (2093303).

It can be written as a sum of positive squares in 3 ways, for example, as 465124 + 1628176 = 682^2 + 1276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12014 + ... + 12186.

22093300 is an apocalyptic number.

2093300 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 2093300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510907).

2093300 is an abundant number, since it is smaller than the sum of its proper divisors (2928514).

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

2093300 is a wasteful number, since it uses less digits than its factorization.

2093300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 2093300 is about 1446.8241081762. The cubic root of 2093300 is about 127.9215828281.

The spelling of 2093300 in words is "two million, ninety-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 173 220 242 275 346 484 550 605 692 865 1100 1210 1730 1903 2420 3025 3460 3806 4325 6050 7612 8650 9515 12100 17300 19030 20933 38060 41866 47575 83732 95150 104665 190300 209330 418660 523325 1046650 2093300