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2138340 = 2235157227
BaseRepresentation
bin1000001010000011100100
311000122020210
420022003210
51021411330
6113455420
724114141
oct10120344
94018223
102138340
111230626
12871570
1359b3b9
143d93c8
152c38b0
hex20a0e4

2138340 has 48 divisors (see below), whose sum is σ = 6052032. Its totient is φ = 564096.

The previous prime is 2138327. The next prime is 2138363. The reversal of 2138340 is 438312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9307 + ... + 9533.

It is an arithmetic number, because the mean of its divisors is an integer number (126084).

22138340 is an apocalyptic number.

2138340 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 2138340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026016).

2138340 is an abundant number, since it is smaller than the sum of its proper divisors (3913692).

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

2138340 is a wasteful number, since it uses less digits than its factorization.

2138340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2138340 is about 1462.3063974421. The cubic root of 2138340 is about 128.8325451752.

The spelling of 2138340 in words is "two million, one hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 227 314 454 471 628 681 785 908 942 1135 1362 1570 1884 2270 2355 2724 3140 3405 4540 4710 6810 9420 13620 35639 71278 106917 142556 178195 213834 356390 427668 534585 712780 1069170 2138340