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150020 = 22513577
BaseRepresentation
bin100100101000000100
321121210022
4210220010
514300040
63114312
71163243
oct445004
9247708
10150020
11a2792
1272998
1353390
143c95a
152e6b5
hex24a04

150020 has 24 divisors (see below), whose sum is σ = 339864. Its totient is φ = 55296.

The previous prime is 150011. The next prime is 150041. The reversal of 150020 is 20051.

It can be written as a sum of positive squares in 4 ways, for example, as 31684 + 118336 = 178^2 + 344^2 .

It is a congruent number.

It is an unprimeable number.

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, 29 + ... + 548.

It is an arithmetic number, because the mean of its divisors is an integer number (14161).

2150020 is an apocalyptic number.

150020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169932).

150020 is an abundant number, since it is smaller than the sum of its proper divisors (189844).

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

150020 is a wasteful number, since it uses less digits than its factorization.

150020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 150020 is about 387.3241536491. The cubic root of 150020 is about 53.1352898177.

Adding to 150020 its reverse (20051), we get a palindrome (170071).

The spelling of 150020 in words is "one hundred fifty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 577 1154 2308 2885 5770 7501 11540 15002 30004 37505 75010 150020