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2138208 = 25322273
BaseRepresentation
bin1000001010000001100000
311000122001220
420022001200
51021410313
6113455040
724113562
oct10120140
94018056
102138208
111230516
12871480
1359b317
143d9332
152c3823
hex20a060

2138208 has 24 divisors (see below), whose sum is σ = 5613048. Its totient is φ = 712704.

The previous prime is 2138207. The next prime is 2138221. The reversal of 2138208 is 8028312.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11041 + ... + 11232.

It is an arithmetic number, because the mean of its divisors is an integer number (233877).

22138208 is an apocalyptic number.

It is an amenable number.

2138208 is an abundant number, since it is smaller than the sum of its proper divisors (3474840).

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

2138208 is a wasteful number, since it uses less digits than its factorization.

2138208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22286 (or 22278 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2138208 is about 1462.2612625656. The cubic root of 2138208 is about 128.8298941709.

It can be divided in two parts, 2138 and 208, that added together give a triangular number (2346 = T68).

The spelling of 2138208 in words is "two million, one hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 22273 44546 66819 89092 133638 178184 267276 356368 534552 712736 1069104 2138208