Search a number
-
+
21199408 = 2417591321
BaseRepresentation
bin101000011011…
…1101000110000
31110220001010021
41100313220300
520411340113
62034213224
7345122566
oct120675060
943801107
1021199408
1110a6a47a
127124214
134513339
142b5ba36
151cdb48d
hex1437a30

21199408 has 40 divisors (see below), whose sum is σ = 44260560. Its totient is φ = 9799680.

The previous prime is 21199369. The next prime is 21199411. The reversal of 21199408 is 80499112.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 7 ways as a sum of consecutive naturals, for example, 15388 + ... + 16708.

It is an arithmetic number, because the mean of its divisors is an integer number (1106514).

Almost surely, 221199408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21199408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22130280).

21199408 is an abundant number, since it is smaller than the sum of its proper divisors (23061152).

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

21199408 is a wasteful number, since it uses less digits than its factorization.

21199408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 21199408 is about 4604.2814857478. The cubic root of 21199408 is about 276.7629245229.

The spelling of 21199408 in words is "twenty-one million, one hundred ninety-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 34 59 68 118 136 236 272 472 944 1003 1321 2006 2642 4012 5284 8024 10568 16048 21136 22457 44914 77939 89828 155878 179656 311756 359312 623512 1247024 1324963 2649926 5299852 10599704 21199408