Search a number
-
+
150332 = 22721359
BaseRepresentation
bin100100101100111100
321122012212
4210230330
514302312
63115552
71164200
oct445474
9248185
10150332
11a2a46
1272bb8
1353570
143cb00
152e822
hex24b3c

150332 has 36 divisors (see below), whose sum is σ = 335160. Its totient is φ = 58464.

The previous prime is 150329. The next prime is 150343. The reversal of 150332 is 233051.

150332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 150332.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2519 + ... + 2577.

It is an arithmetic number, because the mean of its divisors is an integer number (9310).

2150332 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 150332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167580).

150332 is an abundant number, since it is smaller than the sum of its proper divisors (184828).

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

150332 is a wasteful number, since it uses less digits than its factorization.

150332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 150332 is about 387.7267078755. The cubic root of 150332 is about 53.1720998674.

Adding to 150332 its reverse (233051), we get a palindrome (383383).

The spelling of 150332 in words is "one hundred fifty thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 59 91 98 118 182 196 236 364 413 637 767 826 1274 1534 1652 2548 2891 3068 5369 5782 10738 11564 21476 37583 75166 150332