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6398820 = 22325191871
BaseRepresentation
bin11000011010001101100100
3110001002112100
4120122031210
53114230240
6345052100
7105250311
oct30321544
913032470
106398820
11368058a
122187030
1314306ac
14bc7d08
15865e30
hex61a364

6398820 has 72 divisors (see below), whose sum is σ = 20442240. Its totient is φ = 1615680.

The previous prime is 6398813. The next prime is 6398857. The reversal of 6398820 is 288936.

6398820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2485 + ... + 4355.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 26398820 is an apocalyptic number.

6398820 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 6398820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10221120).

6398820 is an abundant number, since it is smaller than the sum of its proper divisors (14043420).

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

6398820 is a wasteful number, since it uses less digits than its factorization.

6398820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6398820 is about 2529.5888994064. The cubic root of 6398820 is about 185.6521420706.

The spelling of 6398820 in words is "six million, three hundred ninety-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 1871 3420 3742 5613 7484 9355 11226 16839 18710 22452 28065 33678 35549 37420 56130 67356 71098 84195 106647 112260 142196 168390 177745 213294 319941 336780 355490 426588 533235 639882 710980 1066470 1279764 1599705 2132940 3199410 6398820