Search a number
-
+
138875184 = 24327311443
BaseRepresentation
bin10000100011100…
…01000100110000
3100200022120221100
420101301010300
5241023001214
621440324400
73304263630
oct1021610460
9320276840
10138875184
1171433a88
123a613700
1322a05386
14146306c0
15c2d3309
hex8471130

138875184 has 120 divisors (see below), whose sum is σ = 446614272. Its totient is φ = 39461760.

The previous prime is 138875183. The next prime is 138875207. The reversal of 138875184 is 481578831.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (138875183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313267 + ... + 313709.

Almost surely, 2138875184 is an apocalyptic number.

138875184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138875184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223307136).

138875184 is an abundant number, since it is smaller than the sum of its proper divisors (307739088).

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

138875184 is a wasteful number, since it uses less digits than its factorization.

138875184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 766 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 138875184 is about 11784.5315562393. The cubic root of 138875184 is about 517.8550500548.

The spelling of 138875184 in words is "one hundred thirty-eight million, eight hundred seventy-five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 311 336 443 504 622 886 933 1008 1244 1329 1772 1866 2177 2488 2658 2799 3101 3544 3732 3987 4354 4976 5316 5598 6202 6531 7088 7464 7974 8708 9303 10632 11196 12404 13062 14928 15948 17416 18606 19593 21264 22392 24808 26124 27909 31896 34832 37212 39186 44784 49616 52248 55818 63792 74424 78372 104496 111636 137773 148848 156744 223272 275546 313488 413319 446544 551092 826638 964411 1102184 1239957 1653276 1928822 2204368 2479914 2893233 3306552 3857644 4959828 5786466 6613104 7715288 8679699 9919656 11572932 15430576 17359398 19839312 23145864 34718796 46291728 69437592 138875184