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540595404 = 223323367593
BaseRepresentation
bin100000001110001…
…101010011001100
31101200020002111000
4200032031103030
52101343023104
6125350500300
716252661616
oct4016152314
91350202430
10540595404
11258174368
12131064690
1387cc994b
1451b21db6
15326d6639
hex2038d4cc

540595404 has 96 divisors (see below), whose sum is σ = 1468938240. Its totient is φ = 171604224.

The previous prime is 540595369. The next prime is 540595421. The reversal of 540595404 is 404595045.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 911332 + ... + 911924.

It is an arithmetic number, because the mean of its divisors is an integer number (15301440).

Almost surely, 2540595404 is an apocalyptic number.

540595404 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540595404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734469120).

540595404 is an abundant number, since it is smaller than the sum of its proper divisors (928342836).

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

540595404 is a wasteful number, since it uses less digits than its factorization.

540595404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 540595404 is about 23250.7076021355. The cubic root of 540595404 is about 814.6244667325.

The spelling of 540595404 in words is "five hundred forty million, five hundred ninety-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 367 414 593 621 734 828 1101 1186 1242 1468 1779 2202 2372 2484 3303 3558 4404 5337 6606 7116 8441 9909 10674 13212 13639 16011 16882 19818 21348 25323 27278 32022 33764 39636 40917 50646 54556 64044 75969 81834 101292 122751 151938 163668 217631 227907 245502 303876 368253 435262 455814 491004 652893 736506 870524 911628 1305786 1473012 1958679 2611572 3917358 5005513 5876037 7834716 10011026 11752074 15016539 20022052 23504148 30033078 45049617 60066156 90099234 135148851 180198468 270297702 540595404