Search a number
-
+
211421340 = 223451310039
BaseRepresentation
bin11001001101000…
…00100010011100
3112201211022120000
430212200202130
5413110440330
632551254300
75145023514
oct1446404234
9481738500
10211421340
11a9383a89
125a97a390
1334a55ab0
1420116844
1513863560
hexc9a089c

211421340 has 120 divisors (see below), whose sum is σ = 714325920. Its totient is φ = 52036992.

The previous prime is 211421321. The next prime is 211421387. The reversal of 211421340 is 43124112.

211421340 is a `hidden beast` number, since 211 + 421 + 34 + 0 = 666.

211421340 is digitally balanced in base 3, 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 (18).

It is a congruent number.

It is an unprimeable 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 39 ways as a sum of consecutive naturals, for example, 16041 + ... + 26079.

It is an arithmetic number, because the mean of its divisors is an integer number (5952716).

Almost surely, 2211421340 is an apocalyptic number.

211421340 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 211421340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357162960).

211421340 is an abundant number, since it is smaller than the sum of its proper divisors (502904580).

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

211421340 is a wasteful number, since it uses less digits than its factorization.

211421340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10073 (or 10062 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 211421340 is about 14540.3349342441. The cubic root of 211421340 is about 595.7301865668.

Adding to 211421340 its reverse (43124112), we get a palindrome (254545452).

The spelling of 211421340 in words is "two hundred eleven million, four hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10039 10530 20078 21060 30117 40156 50195 60234 90351 100390 120468 130507 150585 180702 200780 261014 271053 301170 361404 391521 451755 522028 542106 602340 652535 783042 813159 903510 1084212 1174563 1305070 1355265 1566084 1626318 1807020 1957605 2349126 2610140 2710530 3252636 3523689 3915210 4065795 4698252 5421060 5872815 7047378 7830420 8131590 10571067 11745630 14094756 16263180 17618445 21142134 23491260 35236890 42284268 52855335 70473780 105710670 211421340