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540770304 = 21535501
BaseRepresentation
bin100000001110111…
…000000000000000
31101200112222101210
4200032320000000
52101414122204
6125354330120
716254320544
oct4016700000
91350488353
10540770304
11258283808
12131129940
138805b439
1451b69a24
153271d389
hex203b8000

540770304 has 64 divisors (see below), whose sum is σ = 1442294280. Its totient is φ = 180224000.

The previous prime is 540770249. The next prime is 540770309. The reversal of 540770304 is 403077045.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540770309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95554 + ... + 101054.

Almost surely, 2540770304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540770304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721147140).

540770304 is an abundant number, since it is smaller than the sum of its proper divisors (901523976).

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

540770304 is an frugal number, since it uses more digits than its factorization.

540770304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534 (or 5506 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 540770304 is about 23254.4684738224. The cubic root of 540770304 is about 814.7123096649.

The spelling of 540770304 in words is "five hundred forty million, seven hundred seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 5501 6144 8192 11002 12288 16384 16503 22004 24576 32768 33006 44008 49152 66012 88016 98304 132024 176032 264048 352064 528096 704128 1056192 1408256 2112384 2816512 4224768 5633024 8449536 11266048 16899072 22532096 33798144 45064192 67596288 90128384 135192576 180256768 270385152 540770304