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540525113310 = 235713200398849
BaseRepresentation
bin1111101110110011100…
…11101010111111011110
31220200012010100202210010
413313121303222333132
532323443412111220
61052151441024050
754023500440630
oct7673163527736
91820163322703
10540525113310
11199265375986
1288910925026
133bc81c39070
141c239442a50
15e0d87941e0
hex7dd9ceafde

540525113310 has 128 divisors (see below), whose sum is σ = 1597441305600. Its totient is φ = 113986768896.

The previous prime is 540525113299. The next prime is 540525113417. The reversal of 540525113310 is 13311525045.

It is a super-2 number, since 2×5405251133102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5418766 + ... + 5517614.

It is an arithmetic number, because the mean of its divisors is an integer number (12480010200).

Almost surely, 2540525113310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540525113310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798720652800).

540525113310 is an abundant number, since it is smaller than the sum of its proper divisors (1056916192290).

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

540525113310 is a wasteful number, since it uses less digits than its factorization.

540525113310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100882.

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 540525113310 its reverse (13311525045), we get a palindrome (553836638355).

The spelling of 540525113310 in words is "five hundred forty billion, five hundred twenty-five million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2003 2730 4006 6009 10015 12018 14021 20030 26039 28042 30045 42063 52078 60090 70105 78117 84126 98849 130195 140210 156234 182273 197698 210315 260390 296547 364546 390585 420630 494245 546819 593094 691943 781170 911365 988490 1093638 1285037 1383886 1482735 1822730 2075829 2570074 2734095 2965470 3459715 3855111 4151658 5468190 6425185 6919430 7710222 8995259 10379145 12850370 17990518 19275555 20758290 26985777 38551110 44976295 53971554 89952590 134928885 197994547 269857770 395989094 593983641 989972735 1187967282 1385961829 1979945470 2573929111 2771923658 2969918205 4157885487 5147858222 5939836410 6929809145 7721787333 8315770974 12869645555 13859618290 15443574666 18017503777 20789427435 25739291110 36035007554 38608936665 41578854870 54052511331 77217873330 90087518885 108105022662 180175037770 270262556655 540525113310