Search a number
-
+
20521088 = 27737619
BaseRepresentation
bin100111001001…
…0000010000000
31102121120122022
41032102002000
520223133323
62011501012
7336266150
oct116220200
942546568
1020521088
1110646885
126a57768
134336673
142a22760
151c054c8
hex1392080

20521088 has 64 divisors (see below), whose sum is σ = 48062400. Its totient is φ = 8543232.

The previous prime is 20521073. The next prime is 20521099. The reversal of 20521088 is 88012502.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×205210882 = 842230105407488, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 32843 + ... + 33461.

It is an arithmetic number, because the mean of its divisors is an integer number (750975).

Almost surely, 220521088 is an apocalyptic number.

20521088 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 20521088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24031200).

20521088 is an abundant number, since it is smaller than the sum of its proper divisors (27541312).

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

20521088 is an equidigital number, since it uses as much as digits as its factorization.

20521088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 20521088 is about 4530.0207505044. The cubic root of 20521088 is about 273.7789966713.

The spelling of 20521088 in words is "twenty million, five hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 259 296 448 518 592 619 896 1036 1184 1238 2072 2368 2476 4144 4333 4736 4952 8288 8666 9904 16576 17332 19808 22903 33152 34664 39616 45806 69328 79232 91612 138656 160321 183224 277312 320642 366448 554624 641284 732896 1282568 1465792 2565136 2931584 5130272 10260544 20521088