Search a number
-
+
21421320 = 23351371303
BaseRepresentation
bin101000110110…
…1110100001000
31111022022112020
41101231310020
520440440240
62043044440
7350035554
oct121556410
944268466
1021421320
1111101178
127210720
13459034b
142bb8864
151d320d0
hex146dd08

21421320 has 64 divisors (see below), whose sum is σ = 64782720. Its totient is φ = 5666304.

The previous prime is 21421319. The next prime is 21421333. The reversal of 21421320 is 2312412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21421320.

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 15 ways as a sum of consecutive naturals, for example, 15789 + ... + 17091.

It is an arithmetic number, because the mean of its divisors is an integer number (1012230).

Almost surely, 221421320 is an apocalyptic number.

21421320 is a gapful number since it is divisible by the number (20) 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 21421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32391360).

21421320 is an abundant number, since it is smaller than the sum of its proper divisors (43361400).

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

21421320 is a wasteful number, since it uses less digits than its factorization.

21421320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 21421320 is about 4628.3171887847. The cubic root of 21421320 is about 277.7252776633.

Adding to 21421320 its reverse (2312412), we get a palindrome (23733732).

The spelling of 21421320 in words is "twenty-one million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1303 1370 1644 2055 2606 2740 3288 3909 4110 5212 5480 6515 7818 8220 10424 13030 15636 16440 19545 26060 31272 39090 52120 78180 156360 178511 357022 535533 714044 892555 1071066 1428088 1785110 2142132 2677665 3570220 4284264 5355330 7140440 10710660 21421320