Search a number
-
+
150310314 = 23271129859
BaseRepresentation
bin10001111010110…
…00110110101010
3101110211112222200
420331120312222
5301434412224
622525401030
73503421330
oct1075306652
9343745880
10150310314
1177934400
1242409176
13251aa21b
1415d69b50
15d2e15c9
hex8f58daa

150310314 has 72 divisors (see below), whose sum is σ = 409150560. Its totient is φ = 39037680.

The previous prime is 150310301. The next prime is 150310319. The reversal of 150310314 is 413013051.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (150310319) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10317 + ... + 20175.

Almost surely, 2150310314 is an apocalyptic number.

150310314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150310314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204575280).

150310314 is an abundant number, since it is smaller than the sum of its proper divisors (258840246).

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

150310314 is a wasteful number, since it uses less digits than its factorization.

150310314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9896 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 150310314 is about 12260.1106846553. The cubic root of 150310314 is about 531.6954298087.

Adding to 150310314 its reverse (413013051), we get a palindrome (563323365).

The spelling of 150310314 in words is "one hundred fifty million, three hundred ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1694 2178 2541 5082 7623 9859 15246 19718 29577 59154 69013 88731 108449 138026 177462 207039 216898 325347 414078 621117 650694 759143 976041 1192939 1242234 1518286 1952082 2277429 2385878 3578817 4554858 6832287 7157634 8350573 10736451 13664574 16701146 21472902 25051719 50103438 75155157 150310314