Search a number
-
+
446940 = 2232513191
BaseRepresentation
bin1101101000111011100
3211201002100
41231013130
5103300230
613325100
73541014
oct1550734
9751070
10446940
1128587a
12196790
13128580
14b8c44
158c660
hex6d1dc

446940 has 72 divisors (see below), whose sum is σ = 1467648. Its totient is φ = 109440.

The previous prime is 446933. The next prime is 446951. The reversal of 446940 is 49644.

It is a congruent number.

It is an unprimeable number.

446940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2245 + ... + 2435.

It is an arithmetic number, because the mean of its divisors is an integer number (20384).

2446940 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 446940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824).

446940 is an abundant number, since it is smaller than the sum of its proper divisors (1020708).

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

446940 is a wasteful number, since it uses less digits than its factorization.

446940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 446940 is about 668.5357133318. The cubic root of 446940 is about 76.4568512278.

The spelling of 446940 in words is "four hundred forty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 191 195 234 260 382 390 468 573 585 764 780 955 1146 1170 1719 1910 2292 2340 2483 2865 3438 3820 4966 5730 6876 7449 8595 9932 11460 12415 14898 17190 22347 24830 29796 34380 37245 44694 49660 74490 89388 111735 148980 223470 446940