Search a number
-
+
150320742 = 231113199221
BaseRepresentation
bin10001111010110…
…11011001100110
3101110212002021220
420331123121212
5301440230432
622525521210
73503463615
oct1075333146
9343762256
10150320742
1177941220
1242413206
13251b1bb0
1415d6d87c
15d2e472c
hex8f5b666

150320742 has 64 divisors (see below), whose sum is σ = 371831040. Its totient is φ = 39830400.

The previous prime is 150320741. The next prime is 150320791. The reversal of 150320742 is 247023051.

150320742 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150320741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11692 + ... + 20912.

It is an arithmetic number, because the mean of its divisors is an integer number (5809860).

Almost surely, 2150320742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150320742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185915520).

150320742 is an abundant number, since it is smaller than the sum of its proper divisors (221510298).

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

150320742 is a wasteful number, since it uses less digits than its factorization.

150320742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9269.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 150320742 is about 12260.5359589212. The cubic root of 150320742 is about 531.7077252429.

Adding to 150320742 its reverse (247023051), we get a palindrome (397343793).

The spelling of 150320742 in words is "one hundred fifty million, three hundred twenty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 209 247 286 418 429 494 627 741 858 1254 1482 2717 5434 8151 9221 16302 18442 27663 55326 101431 119873 175199 202862 239746 304293 350398 359619 525597 608586 719238 1051194 1318603 1927189 2277587 2637206 3854378 3955809 4555174 5781567 6832761 7911618 11563134 13665522 25053457 50106914 75160371 150320742