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126000 = 2432537
BaseRepresentation
bin11110110000110000
320101211200
4132300300
513013000
62411200
71033230
oct366060
9211750
10126000
1186736
1260b00
1345474
1433cc0
1527500
hex1ec30

126000 has 120 divisors (see below), whose sum is σ = 502944. Its totient is φ = 28800.

The previous prime is 125963. The next prime is 126001. The reversal of 126000 is 621.

Adding to 126000 its reverse (621), we get a palindrome (126621).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is not an unprimeable number, because it can be changed into a prime (126001) by changing a digit.

126000 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 23 ways as a sum of consecutive naturals, for example, 17997 + ... + 18003.

126000 is a Friedman number, since it can be written as 21000*6, using all its digits and the basic arithmetic operations.

2126000 is an apocalyptic number.

126000 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 126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251472).

126000 is an abundant number, since it is smaller than the sum of its proper divisors (376944).

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

126000 is a wasteful number, since it uses less digits than its factorization.

126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 126000 is about 354.9647869860. The cubic root of 126000 is about 50.1329793496.

The spelling of 126000 in words is "one hundred twenty-six thousand".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 35 36 40 42 45 48 50 56 60 63 70 72 75 80 84 90 100 105 112 120 125 126 140 144 150 168 175 180 200 210 225 240 250 252 280 300 315 336 350 360 375 400 420 450 500 504 525 560 600 630 700 720 750 840 875 900 1000 1008 1050 1125 1200 1260 1400 1500 1575 1680 1750 1800 2000 2100 2250 2520 2625 2800 3000 3150 3500 3600 4200 4500 5040 5250 6000 6300 7000 7875 8400 9000 10500 12600 14000 15750 18000 21000 25200 31500 42000 63000 126000