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540817361 = 737321599
BaseRepresentation
bin100000001111000…
…011011111010001
31101200122100221122
4200033003133101
52101422123421
6125355332025
716254605000
oct4017033721
91350570848
10540817361
112583060a7
12131151015
1388076996
1451b7cc37
153272c2ab
hex203c37d1

540817361 has 16 divisors (see below), whose sum is σ = 639360000. Its totient is φ = 457186464.

The previous prime is 540817339. The next prime is 540817393. The reversal of 540817361 is 163718045.

It is not a de Polignac number, because 540817361 - 218 = 540555217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540817301) 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, 14240 + ... + 35838.

It is an arithmetic number, because the mean of its divisors is an integer number (39960000).

Almost surely, 2540817361 is an apocalyptic number.

It is an amenable number.

540817361 is a deficient number, since it is larger than the sum of its proper divisors (98542639).

540817361 is an equidigital number, since it uses as much as digits as its factorization.

540817361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21693 (or 21679 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 540817361 is about 23255.4802358498. The cubic root of 540817361 is about 814.7359406502.

The spelling of 540817361 in words is "five hundred forty million, eight hundred seventeen thousand, three hundred sixty-one".

Divisors: 1 7 49 73 343 511 3577 21599 25039 151193 1058351 1576727 7408457 11037089 77259623 540817361