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540051031 = 13317916963
BaseRepresentation
bin100000001100001…
…000011001010111
31101122012102202001
4200030020121113
52101223113111
6125331100131
716245233542
oct4014103127
91348172661
10540051031
11257932373
12130a41647
1387b68c30
1451a1d859
153262a1c1
hex20308657

540051031 has 16 divisors (see below), whose sum is σ = 607989760. Its totient is φ = 476292960.

The previous prime is 540051011. The next prime is 540051049. The reversal of 540051031 is 130150045.

It is not a de Polignac number, because 540051031 - 29 = 540050519 is a prime.

It is a super-2 number, since 2×5400510312 = 583310232168325922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540051011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23356 + ... + 40318.

It is an arithmetic number, because the mean of its divisors is an integer number (37999360).

Almost surely, 2540051031 is an apocalyptic number.

540051031 is a deficient number, since it is larger than the sum of its proper divisors (67938729).

540051031 is a wasteful number, since it uses less digits than its factorization.

540051031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17086.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 540051031 is about 23238.9980635999. The cubic root of 540051031 is about 814.3509359196.

It can be divided in two parts, 5400510 and 31, that added together give a triangular number (5400541 = T3286).

The spelling of 540051031 in words is "five hundred forty million, fifty-one thousand, thirty-one".

Divisors: 1 13 31 79 403 1027 2449 16963 31837 220519 525853 1340077 6836089 17421001 41542387 540051031