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21419748 = 2233729977
BaseRepresentation
bin101000110110…
…1011011100100
31111022020101000
41101231123210
520440412443
62043033300
7350031150
oct121553344
944266330
1021419748
11110aaa79
12720b830
13458c70c
142bb8060
151d318d3
hex146d6e4

21419748 has 96 divisors (see below), whose sum is σ = 65721600. Its totient is φ = 5902848.

The previous prime is 21419747. The next prime is 21419759. The reversal of 21419748 is 84791412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21419747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21436 + ... + 22412.

It is an arithmetic number, because the mean of its divisors is an integer number (684600).

Almost surely, 221419748 is an apocalyptic number.

21419748 is a gapful number since it is divisible by the number (28) 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 21419748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32860800).

21419748 is an abundant number, since it is smaller than the sum of its proper divisors (44301852).

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

21419748 is a wasteful number, since it uses less digits than its factorization.

21419748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1018 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 21419748 is about 4628.1473615260. The cubic root of 21419748 is about 277.7184838893.

The spelling of 21419748 in words is "twenty-one million, four hundred nineteen thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 977 1044 1218 1566 1827 1954 2436 2931 3132 3654 3908 5481 5862 6839 7308 8793 10962 11724 13678 17586 20517 21924 26379 27356 28333 35172 41034 52758 56666 61551 82068 84999 105516 113332 123102 169998 184653 198331 246204 254997 339996 369306 396662 509994 594993 738612 764991 793324 1019988 1189986 1529982 1784979 2379972 3059964 3569958 5354937 7139916 10709874 21419748