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20540041000 = 2353971071979
BaseRepresentation
bin10011001000010010…
…000010011100101000
31222000110201012020021
4103020102002130220
5314031222303000
613234100210224
71325000316313
oct231022023450
958013635207
1020540041000
1187903548a6
123b92999974
131c2453c11b
14dcbd0197a
1580339311a
hex4c8482728

20540041000 has 128 divisors (see below), whose sum is σ = 49037788800. Its totient is φ = 8051251200.

The previous prime is 20540040973. The next prime is 20540041009. The reversal of 20540041000 is 14004502.

It is not an unprimeable number, because it can be changed into a prime (20540041009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10378011 + ... + 10379989.

It is an arithmetic number, because the mean of its divisors is an integer number (383107725).

Almost surely, 220540041000 is an apocalyptic number.

20540041000 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 20540041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24518894400).

20540041000 is an abundant number, since it is smaller than the sum of its proper divisors (28497747800).

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

20540041000 is a wasteful number, since it uses less digits than its factorization.

20540041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 20540041000 its reverse (14004502), we get a palindrome (20554045502).

The spelling of 20540041000 in words is "twenty billion, five hundred forty million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 107 125 194 200 214 250 388 428 485 500 535 776 856 970 1000 1070 1940 1979 2140 2425 2675 3880 3958 4280 4850 5350 7916 9700 9895 10379 10700 12125 13375 15832 19400 19790 20758 21400 24250 26750 39580 41516 48500 49475 51895 53500 79160 83032 97000 98950 103790 107000 191963 197900 207580 211753 247375 259475 383926 395800 415160 423506 494750 518950 767852 847012 959815 989500 1037900 1058765 1297375 1535704 1694024 1919630 1979000 2075800 2117530 2594750 3839260 4235060 4799075 5189500 5293825 7678520 8470120 9598150 10379000 10587650 19196300 20540041 21175300 23995375 26469125 38392600 41080082 42350600 47990750 52938250 82160164 95981500 102700205 105876500 164320328 191963000 205400410 211753000 410800820 513501025 821601640 1027002050 2054004100 2567505125 4108008200 5135010250 10270020500 20540041000