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540000 = 253354
BaseRepresentation
bin10000011110101100000
31000102202000
42003311200
5114240000
615324000
74406226
oct2036540
91012660
10540000
1133978a
12220600
1315ba36
14100b16
15aa000
hex83d60

540000 has 120 divisors (see below), whose sum is σ = 1968120. Its totient is φ = 144000.

The previous prime is 539993. The next prime is 540041. The reversal of 540000 is 45.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 a nialpdrome in base 10 and base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

540000 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 19 ways as a sum of consecutive naturals, for example, 107998 + ... + 108002.

It is an arithmetic number, because the mean of its divisors is an integer number (16401).

2540000 is an apocalyptic number.

540000 is a gapful number since it is divisible by the number (50) 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 540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984060).

540000 is an abundant number, since it is smaller than the sum of its proper divisors (1428120).

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

540000 is an equidigital number, since it uses as much as digits as its factorization.

540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 540000 is about 734.8469228350. The cubic root of 540000 is about 81.4325284978.

540000 divided by its product of nonzero digits (20) gives a cube (27000 = 303).

Adding to 540000 its reverse (45), we get a palindrome (540045).

Multiplying 540000 by its reverse (45), we get a 5-th power (24300000 = 305).

The spelling of 540000 in words is "five hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 125 135 144 150 160 180 200 216 225 240 250 270 288 300 360 375 400 432 450 480 500 540 600 625 675 720 750 800 864 900 1000 1080 1125 1200 1250 1350 1440 1500 1800 1875 2000 2160 2250 2400 2500 2700 3000 3375 3600 3750 4000 4320 4500 5000 5400 5625 6000 6750 7200 7500 9000 10000 10800 11250 12000 13500 15000 16875 18000 20000 21600 22500 27000 30000 33750 36000 45000 54000 60000 67500 90000 108000 135000 180000 270000 540000