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20503120 = 24511231013
BaseRepresentation
bin100111000110…
…1101001010000
31102120122222211
41032031221100
520222044440
62011241504
7336162601
oct116155120
942518884
1020503120
1110634330
126a49294
13432b431
142a19da8
151beeeea
hex138da50

20503120 has 80 divisors (see below), whose sum is σ = 54317952. Its totient is φ = 7124480.

The previous prime is 20503117. The next prime is 20503129. The reversal of 20503120 is 2130502.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 20503120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20503129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19734 + ... + 20746.

Almost surely, 220503120 is an apocalyptic number.

20503120 is a gapful number since it is divisible by the number (20) 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 20503120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27158976).

20503120 is an abundant number, since it is smaller than the sum of its proper divisors (33814832).

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

20503120 is a wasteful number, since it uses less digits than its factorization.

20503120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 20503120 is about 4528.0371023215. The cubic root of 20503120 is about 273.6990675522.

Adding to 20503120 its reverse (2130502), we get a palindrome (22633622).

The spelling of 20503120 in words is "twenty million, five hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1013 1265 1840 2024 2026 2530 4048 4052 5060 5065 8104 10120 10130 11143 16208 20240 20260 22286 23299 40520 44572 46598 55715 81040 89144 93196 111430 116495 178288 186392 222860 232990 256289 372784 445720 465980 512578 891440 931960 1025156 1281445 1863920 2050312 2562890 4100624 5125780 10251560 20503120