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540409020 = 223519474043
BaseRepresentation
bin100000001101011…
…111110010111100
31101122212121210220
4200031133302330
52101321042040
6125342501340
716251254334
oct4015376274
91348777726
10540409020
11258057328
12130b94850
1387c62b68
1451ab40c4
153269b2d0
hex2035fcbc

540409020 has 48 divisors (see below), whose sum is σ = 1592787840. Its totient is φ = 136524096.

The previous prime is 540409007. The next prime is 540409027. The reversal of 540409020 is 20904045.

540409020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540409027) 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, 235882 + ... + 238161.

It is an arithmetic number, because the mean of its divisors is an integer number (33183080).

Almost surely, 2540409020 is an apocalyptic number.

It is an amenable number.

540409020 is an abundant number, since it is smaller than the sum of its proper divisors (1052378820).

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

540409020 is a wasteful number, since it uses less digits than its factorization.

540409020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474074 (or 474072 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 540409020 is about 23246.6991205203. The cubic root of 540409020 is about 814.5308351440.

The spelling of 540409020 in words is "five hundred forty million, four hundred nine thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 474043 948086 1422129 1896172 2370215 2844258 4740430 5688516 7110645 9006817 9480860 14221290 18013634 27020451 28442580 36027268 45034085 54040902 90068170 108081804 135102255 180136340 270204510 540409020