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2137820 = 225139769
BaseRepresentation
bin1000001001111011011100
311000121112112
420021323130
51021402240
6113453152
724112466
oct10117334
94017475
102137820
1112301a3
128711b8
1359b0a9
143d9136
152c3665
hex209edc

2137820 has 24 divisors (see below), whose sum is σ = 4527600. Its totient is φ = 847872.

The previous prime is 2137813. The next prime is 2137829. The reversal of 2137820 is 287312.

2137820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137829) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2396 + ... + 3164.

It is an arithmetic number, because the mean of its divisors is an integer number (188650).

22137820 is an apocalyptic number.

2137820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137820 is an abundant number, since it is smaller than the sum of its proper divisors (2389780).

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

2137820 is a wasteful number, since it uses less digits than its factorization.

2137820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 2137820 is about 1462.1285853166. The cubic root of 2137820 is about 128.8221011930.

The spelling of 2137820 in words is "two million, one hundred thirty-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 139 278 556 695 769 1390 1538 2780 3076 3845 7690 15380 106891 213782 427564 534455 1068910 2137820