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6138 = 2321131
BaseRepresentation
bin1011111111010
322102100
41133322
5144023
644230
723616
oct13772
98370
106138
114680
123676
132a42
142346
151c43
hex17fa

6138 has 24 divisors (see below), whose sum is σ = 14976. Its totient is φ = 1800.

The previous prime is 6133. The next prime is 6143. The reversal of 6138 is 8316.

It can be divided in two parts, 61 and 38, that added together give a palindrome (99).

It is an interprime number because it is at equal distance from previous prime (6133) and next prime (6143).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a plaindrome in base 14.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 6138.

It is not an unprimeable number, because it can be changed into a prime (6131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183 + ... + 213.

It is an arithmetic number, because the mean of its divisors is an integer number (624).

26138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488).

6138 is an abundant number, since it is smaller than the sum of its proper divisors (8838).

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

6138 is a wasteful number, since it uses less digits than its factorization.

6138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 47 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 6138 is about 78.3453891432. The cubic root of 6138 is about 18.3094638857.

The spelling of 6138 in words is "six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138