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540837450 = 232523313631
BaseRepresentation
bin100000001111001…
…000011001001010
31101200200101111200
4200033020121022
52101423244300
6125400005030
716255020366
oct4017103112
91350611450
10540837450
1125831a1aa
12131160776
1388082b7a
1451b862a6
1532733200
hex203c864a

540837450 has 72 divisors (see below), whose sum is σ = 1457841216. Its totient is φ = 143748000.

The previous prime is 540837431. The next prime is 540837461. The reversal of 540837450 is 54738045.

It is a Curzon number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 147135 + ... + 150765.

Almost surely, 2540837450 is an apocalyptic number.

540837450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 540837450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728920608).

540837450 is an abundant number, since it is smaller than the sum of its proper divisors (917003766).

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

540837450 is a wasteful number, since it uses less digits than its factorization.

540837450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 540837450 is about 23255.9121515369. The cubic root of 540837450 is about 814.7460284844.

The spelling of 540837450 in words is "five hundred forty million, eight hundred thirty-seven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 331 450 662 993 1655 1986 2979 3310 3631 4965 5958 7262 8275 9930 10893 14895 16550 18155 21786 24825 29790 32679 36310 49650 54465 65358 74475 90775 108930 148950 163395 181550 272325 326790 544650 816975 1201861 1633950 2403722 3605583 6009305 7211166 10816749 12018610 18027915 21633498 30046525 36055830 54083745 60093050 90139575 108167490 180279150 270418725 540837450