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150944 = 255389
BaseRepresentation
bin100100110110100000
321200001112
4210312200
514312234
63122452
71166033
oct446640
9250045
10150944
11a3452
1273428
1353921
143d01a
152eace
hex24da0

150944 has 24 divisors (see below), whose sum is σ = 306180. Its totient is φ = 73216.

The previous prime is 150929. The next prime is 150959. The reversal of 150944 is 449051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150929) and next prime (150959).

It can be written as a sum of positive squares in 2 ways, for example, as 150544 + 400 = 388^2 + 20^2 .

It is a super-2 number, since 2×1509442 = 45568182272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

150944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1652 + ... + 1740.

2150944 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 150944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153090).

150944 is an abundant number, since it is smaller than the sum of its proper divisors (155236).

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

150944 is an equidigital number, since it uses as much as digits as its factorization.

150944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 150944 is about 388.5151219708. The cubic root of 150944 is about 53.2441565292.

Adding to 150944 its reverse (449051), we get a palindrome (599995).

The spelling of 150944 in words is "one hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 53 89 106 178 212 356 424 712 848 1424 1696 2848 4717 9434 18868 37736 75472 150944