Search a number
-
+
138316224 = 263720397
BaseRepresentation
bin10000011111010…
…00100111000000
3100122021012012010
420033220213000
5240402104344
621420332520
73266445204
oct1017504700
9318235163
10138316224
1171092032
123a3a4140
132286ab27
1414526b04
15c2228b9
hex83e89c0

138316224 has 28 divisors (see below), whose sum is σ = 365962184. Its totient is φ = 46105344.

The previous prime is 138316223. The next prime is 138316271. The reversal of 138316224 is 422613831.

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

It is a junction number, because it is equal to n+sod(n) for n = 138316191 and 138316200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138316223) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 360007 + ... + 360390.

It is an arithmetic number, because the mean of its divisors is an integer number (13070078).

Almost surely, 2138316224 is an apocalyptic number.

It is an amenable number.

138316224 is an abundant number, since it is smaller than the sum of its proper divisors (227645960).

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

138316224 is an equidigital number, since it uses as much as digits as its factorization.

138316224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720412 (or 720402 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 138316224 is about 11760.7918100781. The cubic root of 138316224 is about 517.1593426540.

The spelling of 138316224 in words is "one hundred thirty-eight million, three hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 720397 1440794 2161191 2881588 4322382 5763176 8644764 11526352 17289528 23052704 34579056 46105408 69158112 138316224