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6412420 = 2257163281
BaseRepresentation
bin11000011101100010000100
3110001210012001
4120131202010
53120144140
6345235044
7105335050
oct30354204
913053161
106412420
11368a823
122192a84
131436941
14bccc60
15869e9a
hex61d884

6412420 has 48 divisors (see below), whose sum is σ = 15539328. Its totient is φ = 2177280.

The previous prime is 6412409. The next prime is 6412421. The reversal of 6412420 is 242146.

It is a super-2 number, since 2×64124202 = 82238260512800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6412421) 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, 22680 + ... + 22960.

It is an arithmetic number, because the mean of its divisors is an integer number (323736).

Almost surely, 26412420 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 6412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7769664).

6412420 is an abundant number, since it is smaller than the sum of its proper divisors (9126908).

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

6412420 is a wasteful number, since it uses less digits than its factorization.

6412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 6412420 is about 2532.2756564008. The cubic root of 6412420 is about 185.7835768488.

Adding to 6412420 its reverse (242146), we get a palindrome (6654566).

The spelling of 6412420 in words is "six million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163 281 326 562 652 815 1124 1141 1405 1630 1967 2282 2810 3260 3934 4564 5620 5705 7868 9835 11410 19670 22820 39340 45803 91606 183212 229015 320621 458030 641242 916060 1282484 1603105 3206210 6412420