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38140113 = 3118871303
BaseRepresentation
bin1001000101111…
…1100011010001
32122202201101210
42101133203101
534230440423
63441250333
7642120444
oct221374321
978681353
1038140113
111a590260
12109339a9
137b9511b
1450cb65b
153535b93
hex245f8d1

38140113 has 16 divisors (see below), whose sum is σ = 55581696. Its totient is φ = 23071440.

The previous prime is 38140079. The next prime is 38140117. The reversal of 38140113 is 31104183.

38140113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38140113 - 29 = 38139601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38140113.

It is not an unprimeable number, because it can be changed into a prime (38140117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28620 + ... + 29922.

It is an arithmetic number, because the mean of its divisors is an integer number (3473856).

Almost surely, 238140113 is an apocalyptic number.

38140113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

38140113 is a deficient number, since it is larger than the sum of its proper divisors (17441583).

38140113 is a wasteful number, since it uses less digits than its factorization.

38140113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 38140113 is about 6175.7682113240. The cubic root of 38140113 is about 336.6102412816.

Adding to 38140113 its reverse (31104183), we get a palindrome (69244296).

The spelling of 38140113 in words is "thirty-eight million, one hundred forty thousand, one hundred thirteen".

Divisors: 1 3 11 33 887 1303 2661 3909 9757 14333 29271 42999 1155761 3467283 12713371 38140113