Search a number
-
+
150310305 = 32541257317
BaseRepresentation
bin10001111010110…
…00110110100001
3101110211112222100
420331120312201
5301434412210
622525401013
73503421315
oct1075306641
9343745870
10150310305
11779343a2
1242409169
13251aa212
1415d69b45
15d2e15c0
hex8f58da1

150310305 has 48 divisors (see below), whose sum is σ = 268776144. Its totient is φ = 77660160.

The previous prime is 150310301. The next prime is 150310319. The reversal of 150310305 is 503013051.

It is a happy number.

150310305 is a `hidden beast` number, since 1 + 50 + 310 + 305 = 666.

150310305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12787776 + 137522529 = 3576^2 + 11727^2 .

It is not a de Polignac number, because 150310305 - 22 = 150310301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (150310301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474007 + ... + 474323.

It is an arithmetic number, because the mean of its divisors is an integer number (5599503).

Almost surely, 2150310305 is an apocalyptic number.

150310305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

150310305 is a deficient number, since it is larger than the sum of its proper divisors (118465839).

150310305 is a wasteful number, since it uses less digits than its factorization.

150310305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 150310305 is about 12260.1103176113. The cubic root of 150310305 is about 531.6954191967.

Adding to 150310305 its reverse (503013051), we get a palindrome (653323356).

The spelling of 150310305 in words is "one hundred fifty million, three hundred ten thousand, three hundred five".

Divisors: 1 3 5 9 15 41 45 123 205 257 317 369 615 771 951 1285 1585 1845 2313 2853 3855 4755 10537 11565 12997 14265 31611 38991 52685 64985 81469 94833 116973 158055 194955 244407 407345 474165 584865 733221 1222035 3340229 3666105 10020687 16701145 30062061 50103435 150310305