Search a number
-
+
138599264 = 253124507
BaseRepresentation
bin10000100001011…
…01101101100000
3100122210120110002
420100231231200
5240440134024
621430355132
73302034326
oct1020555540
9318716402
10138599264
1171265751
123a4bbaa8
13229398cb
141459bd16
15c27b6ae
hex842db60

138599264 has 36 divisors (see below), whose sum is σ = 282015972. Its totient is φ = 67049280.

The previous prime is 138599257. The next prime is 138599297. The reversal of 138599264 is 462995831.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 28499 + ... + 33005.

It is an arithmetic number, because the mean of its divisors is an integer number (7833777).

Almost surely, 2138599264 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 138599264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141007986).

138599264 is an abundant number, since it is smaller than the sum of its proper divisors (143416708).

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

138599264 is an equidigital number, since it uses as much as digits as its factorization.

138599264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4540 counting only the distinct ones).

The product of its digits is 466560, while the sum is 47.

The square root of 138599264 is about 11772.8188638066. The cubic root of 138599264 is about 517.5118610707.

The spelling of 138599264 in words is "one hundred thirty-eight million, five hundred ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1922 3844 4507 7688 9014 15376 18028 30752 36056 72112 139717 144224 279434 558868 1117736 2235472 4331227 4470944 8662454 17324908 34649816 69299632 138599264