Search a number
-
+
246820 = 22574143
BaseRepresentation
bin111100010000100100
3110112120111
4330100210
530344240
65142404
72045410
oct742044
9415514
10246820
11159492
12baa04
1388462
1465d40
154d1ea
hex3c424

246820 has 48 divisors (see below), whose sum is σ = 620928. Its totient is φ = 80640.

The previous prime is 246817. The next prime is 246833. The reversal of 246820 is 28642.

246820 = T147 + T148 + ... + T166.

246820 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×2468202 = 121840224800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 246791 and 246800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5719 + ... + 5761.

It is an arithmetic number, because the mean of its divisors is an integer number (12936).

2246820 is an apocalyptic number.

246820 is a gapful number since it is divisible by the number (20) 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 246820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310464).

246820 is an abundant number, since it is smaller than the sum of its proper divisors (374108).

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

246820 is a wasteful number, since it uses less digits than its factorization.

246820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 246820 is about 496.8098227692. The cubic root of 246820 is about 62.7278086427.

The spelling of 246820 in words is "two hundred forty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 43 70 82 86 140 164 172 205 215 287 301 410 430 574 602 820 860 1148 1204 1435 1505 1763 2870 3010 3526 5740 6020 7052 8815 12341 17630 24682 35260 49364 61705 123410 246820