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138942 = 2333183
BaseRepresentation
bin100001111010111110
321001121000
4201322332
513421232
62551130
71116036
oct417276
9231530
10138942
1195431
12684a6
134b31b
14388c6
152b27c
hex21ebe

138942 has 32 divisors (see below), whose sum is σ = 322560. Its totient is φ = 44280.

The previous prime is 138937. The next prime is 138959. The reversal of 138942 is 249831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

138942 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1633 + ... + 1715.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2138942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

138942 is an abundant number, since it is smaller than the sum of its proper divisors (183618).

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

138942 is a wasteful number, since it uses less digits than its factorization.

138942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 138942 is about 372.7492454721. The cubic root of 138942 is about 51.7938087342.

Subtracting 138942 from its reverse (249831), we obtain a square (110889 = 3332).

It can be divided in two parts, 1389 and 42, that added together give a triangular number (1431 = T53).

The spelling of 138942 in words is "one hundred thirty-eight thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 83 93 166 186 249 279 498 558 747 837 1494 1674 2241 2573 4482 5146 7719 15438 23157 46314 69471 138942