Search a number
-
+
138333184 = 2101112281
BaseRepresentation
bin10000011111011…
…00110000000000
3100122022001110021
420033230300000
5240403130214
621420543224
73266545513
oct1017546000
9318261407
10138333184
11710a3850
123a3b1b14
1322875772
141452cd7a
15c227924
hex83ecc00

138333184 has 44 divisors (see below), whose sum is σ = 301695048. Its totient is φ = 62873600.

The previous prime is 138333179. The next prime is 138333197. The reversal of 138333184 is 481333831.

It is a tau number, because it is divible by the number of its divisors (44).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5124 + ... + 17404.

Almost surely, 2138333184 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 138333184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150847524).

138333184 is an abundant number, since it is smaller than the sum of its proper divisors (163361864).

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

138333184 is a wasteful number, since it uses less digits than its factorization.

138333184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12312 (or 12294 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 138333184 is about 11761.5128278636. The cubic root of 138333184 is about 517.1804793983.

The spelling of 138333184 in words is "one hundred thirty-eight million, three hundred thirty-three thousand, one hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264 12281 24562 49124 98248 135091 196496 270182 392992 540364 785984 1080728 1571968 2161456 3143936 4322912 6287872 8645824 12575744 17291648 34583296 69166592 138333184