Search a number
-
+
21074418 = 235103421
BaseRepresentation
bin101000001100…
…1000111110010
31110122200200000
41100121013302
520343340133
62031410430
7344062311
oct120310762
943580600
1021074418
1110994582
127083a16
13449b491
142b28278
151cb4413
hex14191f2

21074418 has 48 divisors (see below), whose sum is σ = 47925696. Its totient is φ = 6940080.

The previous prime is 21074393. The next prime is 21074419. The reversal of 21074418 is 81447012.

21074418 is a `hidden beast` number, since 210 + 7 + 441 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21074391 and 21074400.

It is not an unprimeable number, because it can be changed into a prime (21074419) 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 23 ways as a sum of consecutive naturals, for example, 49848 + ... + 50268.

It is an arithmetic number, because the mean of its divisors is an integer number (998452).

Almost surely, 221074418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21074418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23962848).

21074418 is an abundant number, since it is smaller than the sum of its proper divisors (26851278).

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

21074418 is a wasteful number, since it uses less digits than its factorization.

21074418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 21074418 is about 4590.6881837041. The cubic root of 21074418 is about 276.2179280690.

The spelling of 21074418 in words is "twenty-one million, seventy-four thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 243 309 421 486 618 842 927 1263 1854 2526 2781 3789 5562 7578 8343 11367 16686 22734 25029 34101 43363 50058 68202 86726 102303 130089 204606 260178 390267 780534 1170801 2341602 3512403 7024806 10537209 21074418