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540405010 = 251723413371
BaseRepresentation
bin100000001101011…
…110110100010010
31101122212102022101
4200031132310102
52101320430020
6125342431014
716251236545
oct4015366422
91348772271
10540405010
11258054312
12130b9246a
1387c610a2
1451ab285c
153269a00a
hex2035ed12

540405010 has 64 divisors (see below), whose sum is σ = 1101268224. Its totient is φ = 189798400.

The previous prime is 540405001. The next prime is 540405023. The reversal of 540405010 is 10504045.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158625 + ... + 161995.

It is an arithmetic number, because the mean of its divisors is an integer number (17207316).

Almost surely, 2540405010 is an apocalyptic number.

540405010 is an abundant number, since it is smaller than the sum of its proper divisors (560863214).

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

540405010 is a wasteful number, since it uses less digits than its factorization.

540405010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459.

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 540405010 is about 23246.6128715561. The cubic root of 540405010 is about 814.5288204498.

Adding to 540405010 its reverse (10504045), we get a palindrome (550909055).

The spelling of 540405010 in words is "five hundred forty million, four hundred five thousand, ten".

Divisors: 1 2 5 10 17 23 34 41 46 82 85 115 170 205 230 391 410 697 782 943 1394 1886 1955 3371 3485 3910 4715 6742 6970 9430 16031 16855 32062 33710 57307 77533 80155 114614 138211 155066 160310 276422 286535 387665 573070 691055 775330 1318061 1382110 2349587 2636122 3178853 4699174 6357706 6590305 11747935 13180610 15894265 23495870 31788530 54040501 108081002 270202505 540405010