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21148816 = 2413175981
BaseRepresentation
bin101000010101…
…1010010010000
31110210110201111
41100223102100
520403230231
62033143104
7344522233
oct120532220
943713644
1021148816
1110a35467
1270baa94
1344c62c0
142b4741a
151ccb4b1
hex142b490

21148816 has 40 divisors (see below), whose sum is σ = 46731384. Its totient is φ = 9185280.

The previous prime is 21148811. The next prime is 21148823. The reversal of 21148816 is 61884112.

It can be written as a sum of positive squares in 4 ways, for example, as 25600 + 21123216 = 160^2 + 4596^2 .

It is not an unprimeable number, because it can be changed into a prime (21148811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546 + ... + 6526.

Almost surely, 221148816 is an apocalyptic number.

21148816 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 21148816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23365692).

21148816 is an abundant number, since it is smaller than the sum of its proper divisors (25582568).

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

21148816 is a wasteful number, since it uses less digits than its factorization.

21148816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6013 counting only the distinct ones).

The product of its digits is 3072, while the sum is 31.

The square root of 21148816 is about 4598.7841871521. The cubic root of 21148816 is about 276.5425859303.

The spelling of 21148816 in words is "twenty-one million, one hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 5981 11962 23924 47848 77753 95696 101677 155506 203354 311012 406708 622024 813416 1244048 1321801 1626832 2643602 5287204 10574408 21148816