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540023424 = 2731406311
BaseRepresentation
bin100000001100000…
…001101010000000
31101122011000212120
4200030001222000
52101221222144
6125330324240
716245060213
oct4014015200
91348130776
10540023424
11257913656
12130a29680
1387b594b5
1451a1377a
1532621e19
hex20301a80

540023424 has 32 divisors (see below), whose sum is σ = 1434438240. Its totient is φ = 180007680.

The previous prime is 540023383. The next prime is 540023443. The reversal of 540023424 is 424320045.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 540023394 and 540023403.

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 3 ways as a sum of consecutive naturals, for example, 702772 + ... + 703539.

It is an arithmetic number, because the mean of its divisors is an integer number (44826195).

Almost surely, 2540023424 is an apocalyptic number.

It is an amenable number.

540023424 is an abundant number, since it is smaller than the sum of its proper divisors (894414816).

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

540023424 is a wasteful number, since it uses less digits than its factorization.

540023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406328 (or 1406316 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 540023424 is about 23238.4040760118. The cubic root of 540023424 is about 814.3370593486.

Adding to 540023424 its reverse (424320045), we get a palindrome (964343469).

The spelling of 540023424 in words is "five hundred forty million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1406311 2812622 4218933 5625244 8437866 11250488 16875732 22500976 33751464 45001952 67502928 90003904 135005856 180007808 270011712 540023424