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540605400 = 23352901009
BaseRepresentation
bin100000001110001…
…111101111011000
31101200020121012020
4200032033233120
52101343333100
6125351014440
716253033016
oct4016175730
91350217166
10540605400
11258180925
1213106a420
138800136a
1451b258b6
15326d95a0
hex2038fbd8

540605400 has 48 divisors (see below), whose sum is σ = 1675878600. Its totient is φ = 144161280.

The previous prime is 540605393. The next prime is 540605407. The reversal of 540605400 is 4506045.

540605400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (540605393) and next prime (540605407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540605407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 449905 + ... + 451104.

Almost surely, 2540605400 is an apocalyptic number.

540605400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540605400 is an abundant number, since it is smaller than the sum of its proper divisors (1135273200).

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

540605400 is a wasteful number, since it uses less digits than its factorization.

540605400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901028 (or 901019 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 540605400 is about 23250.9225623415. The cubic root of 540605400 is about 814.6294877001.

The spelling of 540605400 in words is "five hundred forty million, six hundred five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 901009 1802018 2703027 3604036 4505045 5406054 7208072 9010090 10812108 13515135 18020180 21624216 22525225 27030270 36040360 45050450 54060540 67575675 90100900 108121080 135151350 180201800 270302700 540605400