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6420700 = 22521113449
BaseRepresentation
bin11000011111100011011100
3110002012112201
4120133203130
53120430300
6345341244
7105401146
oct30374334
913065481
106420700
113695a70
122197824
13143a640
14bd1c96
1586c66a
hex61f8dc

6420700 has 72 divisors (see below), whose sum is σ = 16405200. Its totient is φ = 2150400.

The previous prime is 6420697. The next prime is 6420707. The reversal of 6420700 is 70246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6420707) 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, 14076 + ... + 14524.

It is an arithmetic number, because the mean of its divisors is an integer number (227850).

Almost surely, 26420700 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 6420700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202600).

6420700 is an abundant number, since it is smaller than the sum of its proper divisors (9984500).

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

6420700 is a wasteful number, since it uses less digits than its factorization.

6420700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 6420700 is about 2533.9100220805. The cubic root of 6420700 is about 185.8635064432.

Adding to 6420700 its reverse (70246), we get a palindrome (6490946).

The spelling of 6420700 in words is "six million, four hundred twenty thousand, seven hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 449 550 572 650 715 898 1100 1300 1430 1796 2245 2860 3575 4490 4939 5837 7150 8980 9878 11225 11674 14300 19756 22450 23348 24695 29185 44900 49390 58370 64207 98780 116740 123475 128414 145925 246950 256828 291850 321035 493900 583700 642070 1284140 1605175 3210350 6420700