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20503000 = 2353729101
BaseRepresentation
bin100111000110…
…1100111011000
31102120122211101
41032031213120
520222044000
62011241144
7336162340
oct116154730
942518741
1020503000
1110634231
126a491b4
13432b36b
142a19d20
151beee6a
hex138d9d8

20503000 has 128 divisors (see below), whose sum is σ = 57283200. Its totient is φ = 6720000.

The previous prime is 20502991. The next prime is 20503001. The reversal of 20503000 is 30502.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20503001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202950 + ... + 203050.

It is an arithmetic number, because the mean of its divisors is an integer number (447525).

Almost surely, 220503000 is an apocalyptic number.

20503000 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 20503000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28641600).

20503000 is an abundant number, since it is smaller than the sum of its proper divisors (36780200).

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

20503000 is a wasteful number, since it uses less digits than its factorization.

20503000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 20503000 is about 4528.0238515273. The cubic root of 20503000 is about 273.6985335855.

Adding to 20503000 its reverse (30502), we get a palindrome (20533502).

It can be divided in two parts, 2050 and 3000, that added together give a triangular number (5050 = T100).

The spelling of 20503000 in words is "twenty million, five hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 50 56 58 70 100 101 116 125 140 145 175 200 202 203 232 250 280 290 350 404 406 500 505 580 700 707 725 808 812 875 1000 1010 1015 1160 1400 1414 1450 1624 1750 2020 2030 2525 2828 2900 2929 3500 3535 3625 4040 4060 5050 5075 5656 5800 5858 7000 7070 7250 8120 10100 10150 11716 12625 14140 14500 14645 17675 20200 20300 20503 23432 25250 25375 28280 29000 29290 35350 40600 41006 50500 50750 58580 70700 73225 82012 88375 101000 101500 102515 117160 141400 146450 164024 176750 203000 205030 292900 353500 366125 410060 512575 585800 707000 732250 820120 1025150 1464500 2050300 2562875 2929000 4100600 5125750 10251500 20503000