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20217024 = 263235099
BaseRepresentation
bin100110100011…
…1110011000000
31102001010112200
41031013303000
520133421044
62001153200
7333561522
oct115076300
942033480
1020217024
1110459393
12692b800
13425b149
142983a12
151b95369
hex1347cc0

20217024 has 42 divisors (see below), whose sum is σ = 57950100. Its totient is φ = 6738816.

The previous prime is 20217019. The next prime is 20217077. The reversal of 20217024 is 42071202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20216988 and 20217006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16974 + ... + 18125.

Almost surely, 220217024 is an apocalyptic number.

20217024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20217024 is an abundant number, since it is smaller than the sum of its proper divisors (37733076).

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

20217024 is a wasteful number, since it uses less digits than its factorization.

20217024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35117 (or 35104 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20217024 is about 4496.3345071291. The cubic root of 20217024 is about 272.4200545437.

Adding to 20217024 its reverse (42071202), we get a palindrome (62288226).

It can be divided in two parts, 2021702 and 4, that multiplied together give a palindrome (8086808).

The spelling of 20217024 in words is "twenty million, two hundred seventeen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 35099 70198 105297 140396 210594 280792 315891 421188 561584 631782 842376 1123168 1263564 1684752 2246336 2527128 3369504 5054256 6739008 10108512 20217024