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540542000 = 2453270271
BaseRepresentation
bin100000001110000…
…000010000110000
31101200010101020002
4200032000100300
52101334321000
6125345405132
716252350125
oct4016002060
91350111202
10540542000
11258138229
121310397a8
1387cab54b
1451b0a74c
15326c58d5
hex20380430

540542000 has 40 divisors (see below), whose sum is σ = 1307035392. Its totient is φ = 216216000.

The previous prime is 540541993. The next prime is 540542003. The reversal of 540542000 is 245045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (540542003) 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 7 ways as a sum of consecutive naturals, for example, 133136 + ... + 137135.

Almost surely, 2540542000 is an apocalyptic number.

540542000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540542000 is an abundant number, since it is smaller than the sum of its proper divisors (766493392).

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

540542000 is a wasteful number, since it uses less digits than its factorization.

540542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270294 (or 270278 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 540542000 is about 23249.5591356051. The cubic root of 540542000 is about 814.5976409787.

Adding to 540542000 its reverse (245045), we get a palindrome (540787045).

The spelling of 540542000 in words is "five hundred forty million, five hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 270271 540542 1081084 1351355 2162168 2702710 4324336 5405420 6756775 10810840 13513550 21621680 27027100 33783875 54054200 67567750 108108400 135135500 270271000 540542000