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20420200460 = 225111275031453
BaseRepresentation
bin10011000001001000…
…111000100000001100
31221201010012122220202
4103001020320200030
5313310032403320
613214135433032
71322013561062
oct230110704014
957633178822
1020420200460
118729741930
123b5a825778
131c0576c96a
14dba028032
157e7abeb75
hex4c123880c

20420200460 has 96 divisors (see below), whose sum is σ = 47275425792. Its totient is φ = 7347352320.

The previous prime is 20420200421. The next prime is 20420200499. The reversal of 20420200460 is 6400202402.

It is an interprime number because it is at equal distance from previous prime (20420200421) and next prime (20420200499).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 14053094 + ... + 14054546.

It is an arithmetic number, because the mean of its divisors is an integer number (492452352).

Almost surely, 220420200460 is an apocalyptic number.

20420200460 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 20420200460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23637712896).

20420200460 is an abundant number, since it is smaller than the sum of its proper divisors (26855225332).

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

20420200460 is a wasteful number, since it uses less digits than its factorization.

20420200460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20420200460 its reverse (6400202402), we get a palindrome (26820402862).

The spelling of 20420200460 in words is "twenty billion, four hundred twenty million, two hundred thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 503 508 635 1006 1270 1397 1453 2012 2515 2540 2794 2906 5030 5533 5588 5812 6985 7265 10060 11066 13970 14530 15983 22132 27665 27940 29060 31966 55330 63881 63932 79915 110660 127762 159830 184531 255524 319405 319660 369062 638810 702691 730859 738124 922655 1277620 1405382 1461718 1845310 2029841 2810764 2923436 3513455 3654295 3690620 4059682 7026910 7308590 8039449 8119364 10149205 14053820 14617180 16078898 20298410 32157796 40197245 40596820 80394490 92819093 160788980 185638186 371276372 464095465 928190930 1021010023 1856381860 2042020046 4084040092 5105050115 10210100230 20420200460