Search a number
-
+
6671820 = 22351731211
BaseRepresentation
bin11001011100110111001100
3110112222000110
4121130313030
53201444240
6355000020
7110465241
oct31346714
913488013
106671820
113847701
122299010
1314c7a2c
14c595c8
158bbc80
hex65cdcc

6671820 has 96 divisors (see below), whose sum is σ = 20514816. Its totient is φ = 1612800.

The previous prime is 6671809. The next prime is 6671839. The reversal of 6671820 is 281766.

It is a happy number.

It is a super-2 number, since 2×66718202 = 89026364224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam 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 31 ways as a sum of consecutive naturals, for example, 31515 + ... + 31725.

It is an arithmetic number, because the mean of its divisors is an integer number (213696).

Almost surely, 26671820 is an apocalyptic number.

6671820 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 6671820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10257408).

6671820 is an abundant number, since it is smaller than the sum of its proper divisors (13842996).

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

6671820 is a wasteful number, since it uses less digits than its factorization.

6671820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 6671820 is about 2582.9866434033. The cubic root of 6671820 is about 188.2556880095.

The spelling of 6671820 in words is "six million, six hundred seventy-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 211 255 310 340 372 422 465 510 527 620 633 844 930 1020 1054 1055 1266 1581 1860 2108 2110 2532 2635 3162 3165 3587 4220 5270 6324 6330 6541 7174 7905 10540 10761 12660 13082 14348 15810 17935 19623 21522 26164 31620 32705 35870 39246 43044 53805 65410 71740 78492 98115 107610 111197 130820 196230 215220 222394 333591 392460 444788 555985 667182 1111970 1334364 1667955 2223940 3335910 6671820