Search a number
-
+
21480384 = 263176581
BaseRepresentation
bin101000111110…
…0001111000000
31111102022112210
41101330033000
520444333014
62044222120
7350403012
oct121741700
944368483
1021480384
1111141592
12723a940
1345b11b3
142bd21b2
151d44859
hex147c3c0

21480384 has 56 divisors (see below), whose sum is σ = 60185808. Its totient is φ = 6737920.

The previous prime is 21480383. The next prime is 21480391. The reversal of 21480384 is 48308412.

It is a super-2 number, since 2×214803842 = 922813793574912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21480383) 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 7 ways as a sum of consecutive naturals, for example, 27 + ... + 6554.

Almost surely, 221480384 is an apocalyptic number.

21480384 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 21480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30092904).

21480384 is an abundant number, since it is smaller than the sum of its proper divisors (38705424).

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

21480384 is a wasteful number, since it uses less digits than its factorization.

21480384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6603 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 21480384 is about 4634.6935173752. The cubic root of 21480384 is about 277.9802963797.

Adding to 21480384 its reverse (48308412), we get a palindrome (69788796).

The spelling of 21480384 in words is "twenty-one million, four hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 6581 13162 19743 26324 39486 52648 78972 105296 111877 157944 210592 223754 315888 335631 421184 447508 631776 671262 895016 1263552 1342524 1790032 2685048 3580064 5370096 7160128 10740192 21480384