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540118980 = 2232510927529
BaseRepresentation
bin100000001100011…
…000111111000100
31101122022212221200
4200030120333010
52101232301410
6125332342500
716245635622
oct4014307704
91348285850
10540118980
11257979425
12130a74a30
1387b90b3b
1451a3a512
15326403c0
hex20318fc4

540118980 has 72 divisors (see below), whose sum is σ = 1653451800. Its totient is φ = 142705152.

The previous prime is 540118979. The next prime is 540118991. The reversal of 540118980 is 89811045.

It can be written as a sum of positive squares in 4 ways, for example, as 62346816 + 477772164 = 7896^2 + 21858^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5856 + ... + 33384.

Almost surely, 2540118980 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 540118980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826725900).

540118980 is an abundant number, since it is smaller than the sum of its proper divisors (1113332820).

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

540118980 is a wasteful number, since it uses less digits than its factorization.

540118980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27653 (or 27648 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 540118980 is about 23240.4599782362. The cubic root of 540118980 is about 814.3850882546.

The spelling of 540118980 in words is "five hundred forty million, one hundred eighteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 9810 19620 27529 55058 82587 110116 137645 165174 247761 275290 330348 412935 495522 550580 825870 991044 1238805 1651740 2477610 3000661 4955220 6001322 9001983 12002644 15003305 18003966 27005949 30006610 36007932 45009915 54011898 60013220 90019830 108023796 135029745 180039660 270059490 540118980