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540885400 = 235211475231
BaseRepresentation
bin100000001111010…
…100000110011000
31101200202211021121
4200033110012120
52101431313100
6125401015024
716255310236
oct4017240630
91350684247
10540885400
11258352230
12131184474
138809b943
1451b99956
153274251a
hex203d4198

540885400 has 96 divisors (see below), whose sum is σ = 1401338880. Its totient is φ = 192464000.

The previous prime is 540885361. The next prime is 540885403. The reversal of 540885400 is 4588045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540885403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100785 + ... + 106015.

It is an arithmetic number, because the mean of its divisors is an integer number (14597280).

Almost surely, 2540885400 is an apocalyptic number.

540885400 is a gapful number since it is divisible by the number (50) 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 540885400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700669440).

540885400 is an abundant number, since it is smaller than the sum of its proper divisors (860453480).

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

540885400 is a wasteful number, since it uses less digits than its factorization.

540885400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 540885400 is about 23256.9430493348. The cubic root of 540885400 is about 814.7701059083.

The spelling of 540885400 in words is "five hundred forty million, eight hundred eighty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 188 200 220 235 275 376 440 470 517 550 940 1034 1100 1175 1880 2068 2200 2350 2585 4136 4700 5170 5231 9400 10340 10462 12925 20680 20924 25850 26155 41848 51700 52310 57541 103400 104620 115082 130775 209240 230164 245857 261550 287705 460328 491714 523100 575410 983428 1046200 1150820 1229285 1438525 1966856 2301640 2458570 2704427 2877050 4917140 5408854 5754100 6146425 9834280 10817708 11508200 12292850 13522135 21635416 24585700 27044270 49171400 54088540 67610675 108177080 135221350 270442700 540885400