Search a number
-
+
150240636 = 223371315287
BaseRepresentation
bin10001111010001…
…11110101111100
3101110201000102000
420331013311330
5301430200021
622524102300
73503011230
oct1075076574
9343630360
10150240636
1177897017
1242394990
13251845b0
1415d4c5c0
15d2cab26
hex8f47d7c

150240636 has 96 divisors (see below), whose sum is σ = 479431680. Its totient is φ = 39621312.

The previous prime is 150240617. The next prime is 150240653. The reversal of 150240636 is 636042051.

150240636 is a `hidden beast` number, since 1 + 5 + 0 + 24 + 0 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2185 + ... + 17471.

It is an arithmetic number, because the mean of its divisors is an integer number (4994080).

Almost surely, 2150240636 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 150240636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239715840).

150240636 is an abundant number, since it is smaller than the sum of its proper divisors (329191044).

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

150240636 is a wasteful number, since it uses less digits than its factorization.

150240636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15320 (or 15312 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 150240636 is about 12257.2687006527. The cubic root of 150240636 is about 531.6132593547.

Adding to 150240636 its reverse (636042051), we get a palindrome (786282687).

The spelling of 150240636 in words is "one hundred fifty million, two hundred forty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 15287 30574 45861 61148 91722 107009 137583 183444 198731 214018 275166 321027 397462 412749 428036 550332 596193 642054 794924 825498 963081 1192386 1284108 1391117 1650996 1788579 1926162 2384772 2782234 2889243 3577158 3852324 4173351 5365737 5564468 5778486 7154316 8346702 10731474 11556972 12520053 16693404 21462948 25040106 37560159 50080212 75120318 150240636