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540402020235 = 325711223699373
BaseRepresentation
bin1111101110100100111…
…10000110111110001011
31220122212112201222211100
413313102132012332023
532323220404121420
61052131322432443
754020444244660
oct7672236067613
91818775658740
10540402020235
11199201941270
1288897662723
133bc6259b31c
141c226d5da67
15e0cca7c190
hex7dd2786f8b

540402020235 has 96 divisors (see below), whose sum is σ = 1173068402688. Its totient is φ = 223575240960.

The previous prime is 540402020233. The next prime is 540402020237. The reversal of 540402020235 is 532020204045.

It is a happy number.

540402020235 is a `hidden beast` number, since 5 + 4 + 0 + 402 + 0 + 20 + 235 = 666.

It is an interprime number because it is at equal distance from previous prime (540402020233) and next prime (540402020237).

It is not a de Polignac number, because 540402020235 - 21 = 540402020233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540402020199 and 540402020208.

It is not an unprimeable number, because it can be changed into a prime (540402020233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 423009 + ... + 1122381.

It is an arithmetic number, because the mean of its divisors is an integer number (12219462528).

Almost surely, 2540402020235 is an apocalyptic number.

540402020235 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

540402020235 is an abundant number, since it is smaller than the sum of its proper divisors (632666382453).

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

540402020235 is a wasteful number, since it uses less digits than its factorization.

540402020235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699625 (or 699622 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 540402020235 in words is "five hundred forty billion, four hundred two million, twenty thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 223 231 315 385 495 669 693 1115 1155 1561 2007 2453 3345 3465 4683 7359 7805 10035 12265 14049 17171 22077 23415 36795 51513 70245 85855 110385 154539 257565 699373 772695 2098119 3496865 4895611 6294357 7693103 10490595 14686833 23079309 24478055 31471785 38465515 44060499 53851721 69237927 73434165 115396545 155960179 161555163 220302495 269258605 346189635 467880537 484665489 779800895 807775815 1091721253 1403641611 1715561969 2339402685 2423327445 3275163759 5146685907 5458606265 7018208055 8577809845 9825491277 12008933783 15440057721 16375818795 25733429535 36026801349 49127456385 60044668915 77200288605 108080404047 180134006745 540402020235