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6008420 = 2251131881
BaseRepresentation
bin10110111010111001100100
3102022021000002
4112322321210
53014232140
6332440432
7102033155
oct26727144
912267002
106008420
113434240
122019118
131324aa2
14b2592c
157da415
hex5bae64

6008420 has 48 divisors (see below), whose sum is σ = 14224896. Its totient is φ = 2112000.

The previous prime is 6008399. The next prime is 6008437. The reversal of 6008420 is 248006.

6008420 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×60084202 = 72202221792800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 6008392 and 6008401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6380 + ... + 7260.

It is an arithmetic number, because the mean of its divisors is an integer number (296352).

Almost surely, 26008420 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 6008420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112448).

6008420 is an abundant number, since it is smaller than the sum of its proper divisors (8216476).

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

6008420 is a wasteful number, since it uses less digits than its factorization.

6008420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 6008420 is about 2451.2078655226. The cubic root of 6008420 is about 181.7970204160.

The spelling of 6008420 in words is "six million, eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 881 1364 1705 1762 3410 3524 4405 6820 8810 9691 17620 19382 27311 38764 48455 54622 96910 109244 136555 193820 273110 300421 546220 600842 1201684 1502105 3004210 6008420