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838140 = 223561229
BaseRepresentation
bin11001100100111111100
31120120201020
43030213330
5203310030
625544140
710060362
oct3144774
91516636
10838140
11522786
12345050
13234654
1417b632
15118510
hexcc9fc

838140 has 48 divisors (see below), whose sum is σ = 2395680. Its totient is φ = 218880.

The previous prime is 838139. The next prime is 838141. The reversal of 838140 is 41838.

It is an interprime number because it is at equal distance from previous prime (838139) and next prime (838141).

It is a self number, because there is not a number n which added to its sum of digits gives 838140.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 838140.

It is not an unprimeable number, because it can be changed into a prime (838141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3546 + ... + 3774.

It is an arithmetic number, because the mean of its divisors is an integer number (49910).

2838140 is an apocalyptic number.

It is a pronic number, being equal to 915×916.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197840).

838140 is an abundant number, since it is smaller than the sum of its proper divisors (1557540).

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

838140 is a wasteful number, since it uses less digits than its factorization.

838140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 300 counting only the distinct ones).

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

The square root of 838140 is about 915.4998634626. The cubic root of 838140 is about 94.2841859912.

Adding to 838140 its reverse (41838), we get a palindrome (879978).

The spelling of 838140 in words is "eight hundred thirty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 229 244 305 366 458 610 687 732 915 916 1145 1220 1374 1830 2290 2748 3435 3660 4580 6870 13740 13969 27938 41907 55876 69845 83814 139690 167628 209535 279380 419070 838140