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540110416 = 24197572347
BaseRepresentation
bin100000001100010…
…110111001010000
31101122022110012111
4200030112321100
52101232013131
6125332235104
716245601636
oct4014267120
91348273174
10540110416
11257972a4a
12130a6ba94
1387b89c81
1451a37356
153263cab1
hex20316e50

540110416 has 40 divisors (see below), whose sum is σ = 1103466080. Its totient is φ = 255394944.

The previous prime is 540110411. The next prime is 540110447. The reversal of 540110416 is 614011045.

It is a super-2 number, since 2×5401104162 = 583438522943386112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540110411) 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 7 ways as a sum of consecutive naturals, for example, 228955 + ... + 231301.

It is an arithmetic number, because the mean of its divisors is an integer number (27586652).

Almost surely, 2540110416 is an apocalyptic number.

It is an amenable number.

540110416 is an abundant number, since it is smaller than the sum of its proper divisors (563355664).

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

540110416 is a wasteful number, since it uses less digits than its factorization.

540110416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 540110416 is about 23240.2757298617. The cubic root of 540110416 is about 814.3807839988.

The spelling of 540110416 in words is "five hundred forty million, one hundred ten thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 152 304 757 1514 2347 3028 4694 6056 9388 12112 14383 18776 28766 37552 44593 57532 89186 115064 178372 230128 356744 713488 1776679 3553358 7106716 14213432 28426864 33756901 67513802 135027604 270055208 540110416