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2027300 = 2252111997
BaseRepresentation
bin111101110111100100100
310210222221012
413232330210
51004333200
6111241352
723142332
oct7567444
93728835
102027300
111165160
12819258
1355c9b2
143aab52
152a0a35
hex1eef24

2027300 has 72 divisors (see below), whose sum is σ = 5103840. Its totient is φ = 691200.

The previous prime is 2027297. The next prime is 2027309. The reversal of 2027300 is 37202.

It is not an unprimeable number, because it can be changed into a prime (2027309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20852 + ... + 20948.

22027300 is an apocalyptic number.

2027300 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 2027300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551920).

2027300 is an abundant number, since it is smaller than the sum of its proper divisors (3076540).

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

2027300 is a wasteful number, since it uses less digits than its factorization.

2027300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 2027300 is about 1423.8328553591. The cubic root of 2027300 is about 126.5627803174.

The spelling of 2027300 in words is "two million, twenty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 97 100 110 190 194 209 220 275 380 388 418 475 485 550 836 950 970 1045 1067 1100 1843 1900 1940 2090 2134 2425 3686 4180 4268 4850 5225 5335 7372 9215 9700 10450 10670 18430 20273 20900 21340 26675 36860 40546 46075 53350 81092 92150 101365 106700 184300 202730 405460 506825 1013650 2027300