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BaseRepresentation
bin100100101001000000
321121212112
4210221000
514300310
63114452
71163360
oct445100
9247775
10150080
11a2837
1272a28
1353408
143c9a0
152e705
hex24a40

150080 has 56 divisors (see below), whose sum is σ = 414528. Its totient is φ = 50688.

The previous prime is 150077. The next prime is 150083. The reversal of 150080 is 80051.

150080 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (150077) and next prime (150083).

It is a tau number, because it is divible by the number of its divisors (56).

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

It is not an unprimeable number, because it can be changed into a prime (150083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2207 + ... + 2273.

2150080 is an apocalyptic number.

150080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150080 is the 224-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207264).

150080 is an abundant number, since it is smaller than the sum of its proper divisors (264448).

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

150080 is an equidigital number, since it uses as much as digits as its factorization.

150080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 150080 is about 387.4016004097. The cubic root of 150080 is about 53.1423726343.

The spelling of 150080 in words is "one hundred fifty thousand, eighty".