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138288 = 2434367
BaseRepresentation
bin100001110000110000
321000200210
4201300300
513411123
62544120
71114113
oct416060
9230623
10138288
1194997
1268040
134ac37
143857a
152ae93
hex21c30

138288 has 40 divisors (see below), whose sum is σ = 371008. Its totient is φ = 44352.

The previous prime is 138283. The next prime is 138289. The reversal of 138288 is 882831.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138288.

It is not an unprimeable number, because it can be changed into a prime (138283) by changing a digit.

138288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2031 + ... + 2097.

2138288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185504).

138288 is an abundant number, since it is smaller than the sum of its proper divisors (232720).

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

138288 is a wasteful number, since it uses less digits than its factorization.

138288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 138288 is about 371.8709453560. The cubic root of 138288 is about 51.7124164090.

Multiplying 138288 by its sum of digits (30), we get a triangular number (4148640 = T2880).

The spelling of 138288 in words is "one hundred thirty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 67 86 129 134 172 201 258 268 344 402 516 536 688 804 1032 1072 1608 2064 2881 3216 5762 8643 11524 17286 23048 34572 46096 69144 138288