Search a number
-
+
138134984 = 23139713693
BaseRepresentation
bin10000011101111…
…00010111001000
3100121220222120112
420032330113020
5240330304414
621412413452
73265061621
oct1016742710
9317828515
10138134984
1170a78949
123a317288
13228064a0
14144baa48
15c1d8d3e
hex83bc5c8

138134984 has 32 divisors (see below), whose sum is σ = 281822520. Its totient is φ = 63092736.

The previous prime is 138134981. The next prime is 138134993. The reversal of 138134984 is 489431831.

It can be written as a sum of positive squares in 4 ways, for example, as 130462084 + 7672900 = 11422^2 + 2770^2 .

It is not an unprimeable number, because it can be changed into a prime (138134981) 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 7 ways as a sum of consecutive naturals, for example, 3242 + ... + 16934.

Almost surely, 2138134984 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 138134984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140911260).

138134984 is an abundant number, since it is smaller than the sum of its proper divisors (143687536).

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

138134984 is a wasteful number, since it uses less digits than its factorization.

138134984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13809 (or 13805 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 138134984 is about 11753.0840208007. The cubic root of 138134984 is about 516.9333606603.

The spelling of 138134984 in words is "one hundred thirty-eight million, one hundred thirty-four thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 97 104 194 388 776 1261 2522 5044 10088 13693 27386 54772 109544 178009 356018 712036 1328221 1424072 2656442 5312884 10625768 17266873 34533746 69067492 138134984