[go: up one dir, main page]

Search a number
-
+
21109824 = 263267547
BaseRepresentation
bin101000010000…
…1110001000000
31110201111020100
41100201301000
520401003244
62032242400
7344300451
oct120416100
943644210
1021109824
1110a0913a
1270a0400
1344b1628
142b37128
151cbeb69
hex1421c40

21109824 has 84 divisors (see below), whose sum is σ = 61522864. Its totient is φ = 6918912.

The previous prime is 21109799. The next prime is 21109841. The reversal of 21109824 is 42890112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38319 + ... + 38865.

Almost surely, 221109824 is an apocalyptic number.

21109824 is a gapful number since it is divisible by the number (24) 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 21109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30761432).

21109824 is an abundant number, since it is smaller than the sum of its proper divisors (40413040).

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

21109824 is a wasteful number, since it uses less digits than its factorization.

21109824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 21109824 is about 4594.5428499471. The cubic root of 21109824 is about 276.3725278345.

Adding to 21109824 its reverse (42890112), we get a palindrome (63999936).

The spelling of 21109824 in words is "twenty-one million, one hundred nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 402 536 547 576 603 804 1072 1094 1206 1608 1641 2144 2188 2412 3216 3282 4288 4376 4824 4923 6432 6564 8752 9648 9846 12864 13128 17504 19296 19692 26256 35008 36649 38592 39384 52512 73298 78768 105024 109947 146596 157536 219894 293192 315072 329841 439788 586384 659682 879576 1172768 1319364 1759152 2345536 2638728 3518304 5277456 7036608 10554912 21109824