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21044400 = 24352131971
BaseRepresentation
bin101000001000…
…1110010110000
31110121011111020
41100101302300
520341410100
62031015440
7343605636
oct120216260
943534436
1021044400
1110973a73
12706a580
13448a910
142b1b356
151caa5a0
hex1411cb0

21044400 has 240 divisors, whose sum is σ = 77495040. Its totient is φ = 4838400.

The previous prime is 21044399. The next prime is 21044407. The reversal of 21044400 is 444012.

It is a tau number, because it is divible by the number of its divisors (240).

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 21044400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21044407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296365 + ... + 296435.

It is an arithmetic number, because the mean of its divisors is an integer number (322896).

Almost surely, 221044400 is an apocalyptic number.

21044400 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 21044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38747520).

21044400 is an abundant number, since it is smaller than the sum of its proper divisors (56450640).

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

21044400 is a wasteful number, since it uses less digits than its factorization.

21044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 21044400 is about 4587.4175741914. The cubic root of 21044400 is about 276.0867192318.

Adding to 21044400 its reverse (444012), we get a palindrome (21488412).

The spelling of 21044400 in words is "twenty-one million, forty-four thousand, four hundred".