Search a number
-
+
211011040 = 2555092591
BaseRepresentation
bin11001001001111…
…00010111100000
3112201001110201201
430210330113200
5413004323130
632534410544
75141364352
oct1444742740
9481043651
10211011040
11a9123799
125a800a54
1334941106
142004b0d2
15137d1bca
hexc93c5e0

211011040 has 48 divisors (see below), whose sum is σ = 499685760. Its totient is φ = 84206080.

The previous prime is 211011011. The next prime is 211011071. The reversal of 211011040 is 40110112.

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

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 80145 + ... + 82735.

It is an arithmetic number, because the mean of its divisors is an integer number (10410120).

Almost surely, 2211011040 is an apocalyptic number.

211011040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011040 is an abundant number, since it is smaller than the sum of its proper divisors (288674720).

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

211011040 is a wasteful number, since it uses less digits than its factorization.

211011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 211011040 is about 14526.2190538350. The cubic root of 211011040 is about 595.3445642124.

Adding to 211011040 its reverse (40110112), we get a palindrome (251121152).

The spelling of 211011040 in words is "two hundred eleven million, eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 509 1018 2036 2545 2591 4072 5090 5182 8144 10180 10364 12955 16288 20360 20728 25910 40720 41456 51820 81440 82912 103640 207280 414560 1318819 2637638 5275276 6594095 10550552 13188190 21101104 26376380 42202208 52752760 105505520 211011040