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20413218 = 2374389127
BaseRepresentation
bin100110111011…
…1101100100010
31102102002200010
41031313230202
520211210333
62005305350
7335336520
oct115675442
942362603
1020413218
1110582831
126a05256
1342c9537
1429d5310
151bd3563
hex1377b22

20413218 has 64 divisors (see below), whose sum is σ = 48660480. Its totient is φ = 5588352.

The previous prime is 20413199. The next prime is 20413219. The reversal of 20413218 is 81231402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20413194 and 20413203.

It is not an unprimeable number, because it can be changed into a prime (20413219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160671 + ... + 160797.

It is an arithmetic number, because the mean of its divisors is an integer number (760320).

Almost surely, 220413218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20413218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24330240).

20413218 is an abundant number, since it is smaller than the sum of its proper divisors (28247262).

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

20413218 is a wasteful number, since it uses less digits than its factorization.

20413218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 20413218 is about 4518.0989364997. The cubic root of 20413218 is about 273.2984432298.

The spelling of 20413218 in words is "twenty million, four hundred thirteen thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 43 86 89 127 129 178 254 258 267 301 381 534 602 623 762 889 903 1246 1778 1806 1869 2667 3738 3827 5334 5461 7654 10922 11303 11481 16383 22606 22962 26789 32766 33909 38227 53578 67818 76454 79121 80367 114681 158242 160734 229362 237363 474726 486029 972058 1458087 2916174 3402203 6804406 10206609 20413218