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38124 = 2233353
BaseRepresentation
bin1001010011101100
31221022000
421103230
52204444
6452300
7216102
oct112354
957260
1038124
1126709
121a090
1314478
14dc72
15b469
hex94ec

38124 has 24 divisors (see below), whose sum is σ = 99120. Its totient is φ = 12672.

The previous prime is 38119. The next prime is 38149. The reversal of 38124 is 42183.

It is a happy number.

38124 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 39 + 8 + 1 + 211 + 47 .

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 38097 and 38106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69 + ... + 284.

It is an arithmetic number, because the mean of its divisors is an integer number (4130).

238124 is an apocalyptic number.

It is an amenable number.

38124 is an abundant number, since it is smaller than the sum of its proper divisors (60996).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49560).

38124 is a wasteful number, since it uses less digits than its factorization.

38124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 38124 is about 195.2536811433. The cubic root of 38124 is about 33.6562832186.

The spelling of 38124 in words is "thirty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 353 706 1059 1412 2118 3177 4236 6354 9531 12708 19062 38124