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540464608240 = 24517340995479
BaseRepresentation
bin1111101110101100011…
…00110111001111110000
31220200000220111210102121
413313112030313033300
532323332414430430
61052141440124024
754022134241204
oct7672614671760
91820026453377
10540464608240
111992341aa597
12888b4606614
133bc7254324b
141c2313b2b04
15e0d32e1a7a
hex7dd63373f0

540464608240 has 80 divisors (see below), whose sum is σ = 1266947035200. Its totient is φ = 214408452096.

The previous prime is 540464608237. The next prime is 540464608249. The reversal of 540464608240 is 42806464045.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540464608249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5612821 + ... + 5708299.

It is an arithmetic number, because the mean of its divisors is an integer number (15836837940).

Almost surely, 2540464608240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540464608240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633473517600).

540464608240 is an abundant number, since it is smaller than the sum of its proper divisors (726482426960).

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

540464608240 is a wasteful number, since it uses less digits than its factorization.

540464608240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96074 (or 96068 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 43.

The spelling of 540464608240 in words is "five hundred forty billion, four hundred sixty-four million, six hundred eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 409 692 818 865 1384 1636 1730 2045 2768 3272 3460 4090 6544 6920 8180 13840 16360 32720 70757 95479 141514 190958 283028 353785 381916 477395 566056 707570 763832 954790 1132112 1415140 1527664 1909580 2830280 3819160 5660560 7638320 16517867 33035734 39050911 66071468 78101822 82589335 132142936 156203644 165178670 195254555 264285872 312407288 330357340 390509110 624814576 660714680 781018220 1321429360 1562036440 3124072880 6755807603 13511615206 27023230412 33779038015 54046460824 67558076030 108092921648 135116152060 270232304120 540464608240