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5424640 = 29513163
BaseRepresentation
bin10100101100011000000000
3101012121012121
4110230120000
52342042030
6312134024
764052164
oct24543000
911177177
105424640
113075681
121997314
13117c160
14a12ca4
1572247a
hex52c600

5424640 has 80 divisors (see below), whose sum is σ = 14092848. Its totient is φ = 1990656.

The previous prime is 5424611. The next prime is 5424641. The reversal of 5424640 is 464245.

5424640 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5424641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 33199 + ... + 33361.

Almost surely, 25424640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046424).

5424640 is an abundant number, since it is smaller than the sum of its proper divisors (8668208).

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

5424640 is a wasteful number, since it uses less digits than its factorization.

5424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 5424640 is about 2329.0856575060. The cubic root of 5424640 is about 175.7075031454.

Adding to 5424640 its reverse (464245), we get a palindrome (5888885).

The spelling of 5424640 in words is "five million, four hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 163 208 256 260 320 326 416 512 520 640 652 815 832 1040 1280 1304 1630 1664 2080 2119 2560 2608 3260 3328 4160 4238 5216 6520 6656 8320 8476 10432 10595 13040 16640 16952 20864 21190 26080 33280 33904 41728 42380 52160 67808 83456 84760 104320 135616 169520 208640 271232 339040 417280 542464 678080 1084928 1356160 2712320 5424640