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6411420 = 2233531383
BaseRepresentation
bin11000011101010010011100
3110001201211000
4120131102130
53120131140
6345230300
7105332121
oct30352234
913051730
106411420
113689aa4
122192390
131436352
14bcc748
15869a30
hex61d49c

6411420 has 96 divisors (see below), whose sum is σ = 20643840. Its totient is φ = 1650240.

The previous prime is 6411373. The next prime is 6411421. The reversal of 6411420 is 241146.

6411420 is a `hidden beast` number, since 641 + 1 + 4 + 20 = 666.

It is a super-2 number, since 2×64114202 = 82212612832800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6411393 and 6411402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6411421) 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 31 ways as a sum of consecutive naturals, for example, 16549 + ... + 16931.

It is an arithmetic number, because the mean of its divisors is an integer number (215040).

Almost surely, 26411420 is an apocalyptic number.

6411420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10321920).

6411420 is an abundant number, since it is smaller than the sum of its proper divisors (14232420).

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

6411420 is a wasteful number, since it uses less digits than its factorization.

6411420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6411420 is about 2532.0781978446. The cubic root of 6411420 is about 185.7739188604.

Adding to 6411420 its reverse (241146), we get a palindrome (6652566).

The spelling of 6411420 in words is "six million, four hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 383 465 540 558 620 766 837 930 1116 1149 1395 1532 1674 1860 1915 2298 2790 3348 3447 3830 4185 4596 5580 5745 6894 7660 8370 10341 11490 11873 13788 16740 17235 20682 22980 23746 34470 35619 41364 47492 51705 59365 68940 71238 103410 106857 118730 142476 178095 206820 213714 237460 320571 356190 427428 534285 641142 712380 1068570 1282284 1602855 2137140 3205710 6411420