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150060 = 22354161
BaseRepresentation
bin100100101000101100
321121211210
4210220230
514300220
63114420
71163331
oct445054
9247753
10150060
11a2819
1272a10
13533c1
143c988
152e6e0
hex24a2c

150060 has 48 divisors (see below), whose sum is σ = 437472. Its totient is φ = 38400.

The previous prime is 150053. The next prime is 150061. The reversal of 150060 is 60051.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (150061) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2430 + ... + 2490.

It is an arithmetic number, because the mean of its divisors is an integer number (9114).

2150060 is an apocalyptic number.

150060 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 150060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736).

150060 is an abundant number, since it is smaller than the sum of its proper divisors (287412).

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

150060 is a wasteful number, since it uses less digits than its factorization.

150060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 150060 is about 387.3757865432. The cubic root of 150060 is about 53.1400119052.

Subtracting from 150060 its reverse (60051), we obtain a palindrome (90009).

It can be divided in two parts, 1500 and 60, that multiplied together give a square (90000 = 3002).

The spelling of 150060 in words is "one hundred fifty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 61 82 122 123 164 183 205 244 246 305 366 410 492 610 615 732 820 915 1220 1230 1830 2460 2501 3660 5002 7503 10004 12505 15006 25010 30012 37515 50020 75030 150060