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540148356 = 2232112124001
BaseRepresentation
bin100000001100100…
…000001010000100
31101122101101020200
4200030200022010
52101234221411
6125333130500
716246120356
oct4014401204
91348341220
10540148356
11257999500
12130a89a30
1387ba1317
1451a470d6
1532648e56
hex20320284

540148356 has 54 divisors (see below), whose sum is σ = 1500796206. Its totient is φ = 163680000.

The previous prime is 540148337. The next prime is 540148379. The reversal of 540148356 is 653841045.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 405216900 + 134931456 = 20130^2 + 11616^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 540148356.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57645 + ... + 66356.

Almost surely, 2540148356 is an apocalyptic number.

It is an amenable number.

540148356 is an abundant number, since it is smaller than the sum of its proper divisors (960647850).

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

540148356 is a wasteful number, since it uses less digits than its factorization.

540148356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124033 (or 124017 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 540148356 is about 23241.0919709036. The cubic root of 540148356 is about 814.3998522502.

The spelling of 540148356 in words is "five hundred forty million, one hundred forty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 124001 248002 372003 496004 744006 1116009 1364011 1488012 2232018 2728022 4092033 4464036 5456044 8184066 12276099 15004121 16368132 24552198 30008242 45012363 49104396 60016484 90024726 135037089 180049452 270074178 540148356