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21441440 = 255294621
BaseRepresentation
bin101000111001…
…0101110100000
31111100100010102
41101302232200
520442111230
62043321532
7350151326
oct121625640
944310112
1021441440
11111152a9
1272202a8
134599557
142bc1d16
151d38045
hex1472ba0

21441440 has 48 divisors (see below), whose sum is σ = 52413480. Its totient is φ = 8279040.

The previous prime is 21441421. The next prime is 21441449. The reversal of 21441440 is 4414412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16224784 + 5216656 = 4028^2 + 2284^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21441449) 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, 2330 + ... + 6950.

Almost surely, 221441440 is an apocalyptic number.

21441440 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 21441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26206740).

21441440 is an abundant number, since it is smaller than the sum of its proper divisors (30972040).

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

21441440 is a wasteful number, since it uses less digits than its factorization.

21441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 21441440 is about 4630.4902548218. The cubic root of 21441440 is about 277.8122017190.

Adding to 21441440 its reverse (4414412), we get a palindrome (25855852).

The spelling of 21441440 in words is "twenty-one million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4621 4640 9242 18484 23105 36968 46210 73936 92420 134009 147872 184840 268018 369680 536036 670045 739360 1072072 1340090 2144144 2680180 4288288 5360360 10720720 21441440