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540020064 = 2535999391
BaseRepresentation
bin100000001100000…
…000110101100000
31101122010212021010
4200030000311200
52101221120224
6125330300520
716245044343
oct4014006540
91348125233
10540020064
11257911081
12130a27740
1387b57acc
1451a1245a
1532620e29
hex20300d60

540020064 has 48 divisors (see below), whose sum is σ = 1420070400. Its totient is φ = 179687040.

The previous prime is 540020057. The next prime is 540020077. The reversal of 540020064 is 460020045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 540020064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52809 + ... + 62199.

It is an arithmetic number, because the mean of its divisors is an integer number (29584800).

Almost surely, 2540020064 is an apocalyptic number.

It is an amenable number.

540020064 is an abundant number, since it is smaller than the sum of its proper divisors (880050336).

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

540020064 is a wasteful number, since it uses less digits than its factorization.

540020064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10003 (or 9995 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 540020064 is about 23238.3317817781. The cubic root of 540020064 is about 814.3353704230.

The spelling of 540020064 in words is "five hundred forty million, twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 599 1198 1797 2396 3594 4792 7188 9391 9584 14376 18782 19168 28173 28752 37564 56346 57504 75128 112692 150256 225384 300512 450768 901536 5625209 11250418 16875627 22500836 33751254 45001672 67502508 90003344 135005016 180006688 270010032 540020064