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138003 = 3157293
BaseRepresentation
bin100001101100010011
321000022020
4201230103
513404003
62542523
71113225
oct415423
9230266
10138003
1194758
1267a43
134aa78
1438415
152ad53
hex21b13

138003 has 8 divisors (see below), whose sum is σ = 185808. Its totient is φ = 91104.

The previous prime is 137999. The next prime is 138007. The reversal of 138003 is 300831.

It is an interprime number because it is at equal distance from previous prime (137999) and next prime (138007).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 138003 - 22 = 137999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325 + ... + 617.

It is an arithmetic number, because the mean of its divisors is an integer number (23226).

2138003 is an apocalyptic number.

138003 is a deficient number, since it is larger than the sum of its proper divisors (47805).

138003 is a wasteful number, since it uses less digits than its factorization.

138003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 138003 is about 371.4875502625. The cubic root of 138003 is about 51.6768669883.

Adding to 138003 its product of nonzero digits (72), we get a triangular number (138075 = T525).

Adding to 138003 its reverse (300831), we get a palindrome (438834).

The spelling of 138003 in words is "one hundred thirty-eight thousand, three".

Divisors: 1 3 157 293 471 879 46001 138003