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540456540 = 223513692893
BaseRepresentation
bin100000001101101…
…011011001011100
31101122222000222220
4200031223121130
52101324102130
6125343505340
716251543021
oct4015533134
91348860886
10540456540
11258089aa8
12130bb8250
1387c7b690
1451ac7548
15326aa410
hex2036b65c

540456540 has 48 divisors (see below), whose sum is σ = 1629686688. Its totient is φ = 133035264.

The previous prime is 540456517. The next prime is 540456541. The reversal of 540456540 is 45654045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540456541) 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, 345667 + ... + 347226.

It is an arithmetic number, because the mean of its divisors is an integer number (33951806).

Almost surely, 2540456540 is an apocalyptic number.

It is an amenable number.

540456540 is an abundant number, since it is smaller than the sum of its proper divisors (1089230148).

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

540456540 is a wasteful number, since it uses less digits than its factorization.

540456540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692918 (or 692916 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 540456540 is about 23247.7211786446. The cubic root of 540456540 is about 814.5547092648.

The spelling of 540456540 in words is "five hundred forty million, four hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 692893 1385786 2078679 2771572 3464465 4157358 6928930 8314716 9007609 10393395 13857860 18015218 20786790 27022827 36030436 41573580 45038045 54045654 90076090 108091308 135114135 180152180 270228270 540456540