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5740320 = 253511959
BaseRepresentation
bin10101111001011100100000
3101210122020110
4111321130200
52432142240
6323011320
766535425
oct25713440
911718213
105740320
113270873
121b09b40
13125ca51
14a95d4c
15785c80
hex579720

5740320 has 48 divisors (see below), whose sum is σ = 18083520. Its totient is φ = 1530624.

The previous prime is 5740309. The next prime is 5740321. The reversal of 5740320 is 230475.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (5740321) 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, 5500 + ... + 6459.

It is an arithmetic number, because the mean of its divisors is an integer number (376740).

Almost surely, 25740320 is an apocalyptic number.

It is an amenable number.

5740320 is an abundant number, since it is smaller than the sum of its proper divisors (12343200).

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

5740320 is a wasteful number, since it uses less digits than its factorization.

5740320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11977 (or 11969 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 5740320 is about 2395.8964919211. The cubic root of 5740320 is about 179.0518040296.

Adding to 5740320 its reverse (230475), we get a palindrome (5970795).

The spelling of 5740320 in words is "five million, seven hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 11959 23918 35877 47836 59795 71754 95672 119590 143508 179385 191344 239180 287016 358770 382688 478360 574032 717540 956720 1148064 1435080 1913440 2870160 5740320