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6440253420 = 2235193355529
BaseRepresentation
bin1011111111101111…
…00111011111101100
3121121211110202211110
411333313213133230
5101142201102140
62543020552020
7315411152016
oct57767473754
917554422743
106440253420
11280539a797
1212b89b2610
137b8362353
144514911b6
1527a5ed380
hex17fde77ec

6440253420 has 48 divisors (see below), whose sum is σ = 18042363360. Its totient is φ = 1716481536.

The previous prime is 6440253419. The next prime is 6440253427. The reversal of 6440253420 is 243520446.

It is a super-2 number, since 2×64402534202 = 82953728227643392800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6440253427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88216 + ... + 143744.

It is an arithmetic number, because the mean of its divisors is an integer number (375882570).

Almost surely, 26440253420 is an apocalyptic number.

6440253420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6440253420 is an abundant number, since it is smaller than the sum of its proper divisors (11602109940).

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

6440253420 is a wasteful number, since it uses less digits than its factorization.

6440253420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57474 (or 57472 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 6440253420 is about 80251.1895238943. The cubic root of 6440253420 is about 1860.5198974470.

Adding to 6440253420 its reverse (243520446), we get a palindrome (6683773866).

The spelling of 6440253420 in words is "six billion, four hundred forty million, two hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1933 3866 5799 7732 9665 11598 19330 23196 28995 38660 55529 57990 111058 115980 166587 222116 277645 333174 555290 666348 832935 1110580 1665870 3331740 107337557 214675114 322012671 429350228 536687785 644025342 1073375570 1288050684 1610063355 2146751140 3220126710 6440253420