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540964032 = 2637402503
BaseRepresentation
bin100000001111100…
…111010011000000
31101200220211010220
4200033213103000
52101441322112
6125402423040
716256055420
oct4017472300
91350824126
10540964032
112583a6314
12131201a80
13880c867b
1451bba480
153275a98c
hex203e74c0

540964032 has 56 divisors (see below), whose sum is σ = 1635776256. Its totient is φ = 154560768.

The previous prime is 540964027. The next prime is 540964049. The reversal of 540964032 is 230469045.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 540963984 and 540964002.

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, 199908 + ... + 202595.

Almost surely, 2540964032 is an apocalyptic number.

It is an amenable number.

540964032 is an abundant number, since it is smaller than the sum of its proper divisors (1094812224).

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

540964032 is a wasteful number, since it uses less digits than its factorization.

540964032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402525 (or 402515 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 540964032 is about 23258.6334938233. The cubic root of 540964032 is about 814.8095867907.

The spelling of 540964032 in words is "five hundred forty million, nine hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 402503 805006 1207509 1610012 2415018 2817521 3220024 4830036 5635042 6440048 8452563 9660072 11270084 12880096 16905126 19320144 22540168 25760192 33810252 38640288 45080336 67620504 77280576 90160672 135241008 180321344 270482016 540964032