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150388 = 22741131
BaseRepresentation
bin100100101101110100
321122021221
4210231310
514303023
63120124
71164310
oct445564
9248257
10150388
11a2a97
1273044
13535b4
143cb40
152e85d
hex24b74

150388 has 24 divisors (see below), whose sum is σ = 310464. Its totient is φ = 62400.

The previous prime is 150383. The next prime is 150401. The reversal of 150388 is 883051.

150388 is digitally balanced in base 2, 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 (150383) by changing a digit.

150388 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1083 + ... + 1213.

It is an arithmetic number, because the mean of its divisors is an integer number (12936).

2150388 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 150388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155232).

150388 is an abundant number, since it is smaller than the sum of its proper divisors (160076).

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

150388 is a wasteful number, since it uses less digits than its factorization.

150388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 150388 is about 387.7989169660. The cubic root of 150388 is about 53.1787014070.

The spelling of 150388 in words is "one hundred fifty thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 14 28 41 82 131 164 262 287 524 574 917 1148 1834 3668 5371 10742 21484 37597 75194 150388