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540088530 = 235234391783
BaseRepresentation
bin100000001100010…
…001100011010010
31101122021100011220
4200030101203102
52101230313110
6125331545510
716245451062
oct4014214322
91348240156
10540088530
11257958563
12130a5b296
1387b80017
1451a2d3a2
1532636370
hex203118d2

540088530 has 64 divisors (see below), whose sum is σ = 1356410880. Its totient is φ = 137370816.

The previous prime is 540088513. The next prime is 540088567. The reversal of 540088530 is 35880045.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 540088491 and 540088500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302019 + ... + 303801.

It is an arithmetic number, because the mean of its divisors is an integer number (21193920).

Almost surely, 2540088530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540088530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678205440).

540088530 is an abundant number, since it is smaller than the sum of its proper divisors (816322350).

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

540088530 is a wasteful number, since it uses less digits than its factorization.

540088530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255.

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 540088530 is about 23239.8048614871. The cubic root of 540088530 is about 814.3697839156.

The spelling of 540088530 in words is "five hundred forty million, eighty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 439 690 878 1317 1783 2195 2634 3566 4390 5349 6585 8915 10097 10698 13170 17830 20194 26745 30291 41009 50485 53490 60582 82018 100970 123027 151455 205045 246054 302910 410090 615135 782737 1230270 1565474 2348211 3913685 4696422 7827370 11741055 18002951 23482110 36005902 54008853 90014755 108017706 180029510 270044265 540088530