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2138680 = 235127421
BaseRepresentation
bin1000001010001000111000
311000122201101
420022020320
51021414210
6113501144
724115135
oct10121070
94018641
102138680
111230905
128717b4
1359b5bb
143d958c
152c3a3a
hex20a238

2138680 has 32 divisors (see below), whose sum is σ = 4861440. Its totient is φ = 846720.

The previous prime is 2138677. The next prime is 2138687. The reversal of 2138680 is 868312.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4870 + ... + 5290.

It is an arithmetic number, because the mean of its divisors is an integer number (151920).

22138680 is an apocalyptic number.

2138680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138680 is an abundant number, since it is smaller than the sum of its proper divisors (2722760).

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

2138680 is a wasteful number, since it uses less digits than its factorization.

2138680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 2138680 is about 1462.4226475270. The cubic root of 2138680 is about 128.8393730174.

The spelling of 2138680 in words is "two million, one hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 127 254 421 508 635 842 1016 1270 1684 2105 2540 3368 4210 5080 8420 16840 53467 106934 213868 267335 427736 534670 1069340 2138680