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21299616 = 2532135689
BaseRepresentation
bin101000101000…
…0000110100000
31111002010120200
41101100012200
520423041431
62040305200
7346021002
oct121200640
944063520
1021299616
1111028798
127172200
134549b30
142b86372
151d0aee6
hex14501a0

21299616 has 72 divisors (see below), whose sum is σ = 65241540. Its totient is φ = 6552576.

The previous prime is 21299611. The next prime is 21299639. The reversal of 21299616 is 61699212.

It can be written as a sum of positive squares in 2 ways, for example, as 21123216 + 176400 = 4596^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21299611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 900 + ... + 6588.

Almost surely, 221299616 is an apocalyptic number.

21299616 is a gapful number since it is divisible by the number (26) 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 21299616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32620770).

21299616 is an abundant number, since it is smaller than the sum of its proper divisors (43941924).

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

21299616 is a wasteful number, since it uses less digits than its factorization.

21299616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 5707 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 21299616 is about 4615.1507017648. The cubic root of 21299616 is about 277.1983183621.

The spelling of 21299616 in words is "twenty-one million, two hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 5689 11378 17067 22756 34134 45512 51201 68268 73957 91024 102402 136536 147914 182048 204804 221871 273072 295828 409608 443742 546144 591656 665613 819216 887484 1183312 1331226 1638432 1774968 2366624 2662452 3549936 5324904 7099872 10649808 21299616