Search a number
-
+
21417508 = 2272234751
BaseRepresentation
bin101000110110…
…0111000100100
31111022010022001
41101230320210
520440330013
62043015044
7350021500
oct121547044
944263261
1021417508
11110a9322
12720a484
13458b6a8
142bb7300
151d30ddd
hex146ce24

21417508 has 36 divisors (see below), whose sum is σ = 45505152. Its totient is φ = 8778000.

The previous prime is 21417499. The next prime is 21417509. The reversal of 21417508 is 80571412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (21417509) 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, 2133 + ... + 6883.

It is an arithmetic number, because the mean of its divisors is an integer number (1264032).

Almost surely, 221417508 is an apocalyptic number.

21417508 is a gapful number since it is divisible by the number (28) 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 21417508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22752576).

21417508 is an abundant number, since it is smaller than the sum of its proper divisors (24087644).

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

21417508 is a wasteful number, since it uses less digits than its factorization.

21417508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 21417508 is about 4627.9053577185. The cubic root of 21417508 is about 277.7088026193.

The spelling of 21417508 in words is "twenty-one million, four hundred seventeen thousand, five hundred eight".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 644 1127 2254 4508 4751 9502 19004 33257 66514 109273 133028 218546 232799 437092 465598 764911 931196 1529822 3059644 5354377 10708754 21417508