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150000 = 24355
BaseRepresentation
bin100100100111110000
321121202120
4210213300
514300000
63114240
71163214
oct444760
9247676
10150000
11a2774
1272980
1353376
143c944
152e6a0
hex249f0

150000 has 60 divisors (see below), whose sum is σ = 484344. Its totient is φ = 40000.

The previous prime is 149993. The next prime is 150001. The reversal of 150000 is 51.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150001) by changing a digit.

150000 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 11 ways as a sum of consecutive naturals, for example, 29998 + ... + 30002.

2150000 is an apocalyptic number.

150000 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 150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242172).

150000 is an abundant number, since it is smaller than the sum of its proper divisors (334344).

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

150000 is an frugal number, since it uses more digits than its factorization.

150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 150000 is about 387.2983346207. The cubic root of 150000 is about 53.1329284591.

Adding to 150000 its reverse (51), we get a palindrome (150051).

The spelling of 150000 in words is "one hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 7500 9375 10000 12500 15000 18750 25000 30000 37500 50000 75000 150000