Search a number
-
+
211420 = 22511312
BaseRepresentation
bin110011100111011100
3101202000101
4303213130
523231140
64310444
71540246
oct634734
9352011
10211420
11134930
12a2424
1375301
1457096
154299a
hex339dc

211420 has 36 divisors (see below), whose sum is σ = 500472. Its totient is φ = 74400.

The previous prime is 211403. The next prime is 211427. The reversal of 211420 is 24112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 211397 and 211406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211427) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6805 + ... + 6835.

It is an arithmetic number, because the mean of its divisors is an integer number (13902).

2211420 is an apocalyptic number.

211420 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 211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250236).

211420 is an abundant number, since it is smaller than the sum of its proper divisors (289052).

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

211420 is a wasteful number, since it uses less digits than its factorization.

211420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 211420 is about 459.8043061999. The cubic root of 211420 is about 59.5728927974.

Adding to 211420 its reverse (24112), we get a palindrome (235532).

It can be divided in two parts, 21 and 1420, that added together give a palindrome (1441).

The spelling of 211420 in words is "two hundred eleven thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 961 1364 1705 1922 3410 3844 4805 6820 9610 10571 19220 21142 42284 52855 105710 211420