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540031545 = 32561319577
BaseRepresentation
bin100000001100000…
…011101000111001
31101122011110000100
4200030003220321
52101222002140
6125330430013
716245122664
oct4014035071
91348143010
10540031545
11257919769
12130a32309
1387b600c1
1451a166db
1532624530
hex20303a39

540031545 has 24 divisors (see below), whose sum is σ = 937629576. Its totient is φ = 287532288.

The previous prime is 540031529. The next prime is 540031561. The reversal of 540031545 is 545130045.

It is an interprime number because it is at equal distance from previous prime (540031529) and next prime (540031561).

It can be written as a sum of positive squares in 4 ways, for example, as 29452329 + 510579216 = 5427^2 + 22596^2 .

It is not a de Polignac number, because 540031545 - 24 = 540031529 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17797 + ... + 37373.

It is an arithmetic number, because the mean of its divisors is an integer number (39067899).

Almost surely, 2540031545 is an apocalyptic number.

It is an amenable number.

540031545 is a deficient number, since it is larger than the sum of its proper divisors (397598031).

540031545 is a wasteful number, since it uses less digits than its factorization.

540031545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20201 (or 20198 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 540031545 is about 23238.5788076638. The cubic root of 540031545 is about 814.3411413926.

The spelling of 540031545 in words is "five hundred forty million, thirty-one thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 45 613 1839 3065 5517 9195 19577 27585 58731 97885 176193 293655 880965 12000701 36002103 60003505 108006309 180010515 540031545