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540046000 = 24531320771
BaseRepresentation
bin100000001100000…
…111001010110000
31101122012011211201
4200030013022300
52101222433000
6125331020544
716245213064
oct4014071260
91348164751
10540046000
1125792960a
12130a3a754
1387b66860
1451a1baa4
153262896a
hex203072b0

540046000 has 80 divisors (see below), whose sum is σ = 1406347488. Its totient is φ = 199392000.

The previous prime is 540045983. The next prime is 540046007. The reversal of 540046000 is 640045.

540046000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (540046007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15615 + ... + 36385.

Almost surely, 2540046000 is an apocalyptic number.

540046000 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 540046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703173744).

540046000 is an abundant number, since it is smaller than the sum of its proper divisors (866301488).

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

540046000 is a wasteful number, since it uses less digits than its factorization.

540046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20807 (or 20791 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 540046000 is about 23238.8898185778. The cubic root of 540046000 is about 814.3484071387.

Adding to 540046000 its reverse (640045), we get a palindrome (540686045).

The spelling of 540046000 in words is "five hundred forty million, forty-six thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 20771 26000 41542 83084 103855 166168 207710 270023 332336 415420 519275 540046 830840 1038550 1080092 1350115 1661680 2077100 2160184 2596375 2700230 4154200 4320368 5192750 5400460 6750575 8308400 10385500 10800920 13501150 20771000 21601840 27002300 33752875 41542000 54004600 67505750 108009200 135011500 270023000 540046000