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6420060 = 223551321
BaseRepresentation
bin11000011111011001011100
3110002011200000
4120133121130
53120420220
6345334300
7105366243
oct30373134
913064600
106420060
113695539
122197390
13143a26a
14bd195a
1586c390
hex61f65c

6420060 has 72 divisors (see below), whose sum is σ = 20210736. Its totient is φ = 1710720.

The previous prime is 6420053. The next prime is 6420061. The reversal of 6420060 is 600246.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6420061) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4200 + ... + 5520.

Almost surely, 26420060 is an apocalyptic number.

6420060 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 6420060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10105368).

6420060 is an abundant number, since it is smaller than the sum of its proper divisors (13790676).

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

6420060 is a wasteful number, since it uses less digits than its factorization.

6420060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6420060 is about 2533.7837318919. The cubic root of 6420060 is about 185.8573307616.

The spelling of 6420060 in words is "six million, four hundred twenty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1321 1620 2430 2642 3963 4860 5284 6605 7926 11889 13210 15852 19815 23778 26420 35667 39630 47556 59445 71334 79260 107001 118890 142668 178335 214002 237780 321003 356670 428004 535005 642006 713340 1070010 1284012 1605015 2140020 3210030 6420060