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208080040420 = 225710119774699
BaseRepresentation
bin1100000111001010001…
…0010111000111100100
3201220002110022021012201
43001302202113013210
511402121442243140
6235331325224244
721014263106110
oct3016242270744
9656073267181
10208080040420
118027883815a
12343b1702084
1316811307b95
14a0dd262740
15562c9d049a
hex30728971e4

208080040420 has 96 divisors (see below), whose sum is σ = 506903443200. Its totient is φ = 70275878400.

The previous prime is 208080040397. The next prime is 208080040451. The reversal of 208080040420 is 24040080802.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2748231 + ... + 2822929.

It is an arithmetic number, because the mean of its divisors is an integer number (5280244200).

Almost surely, 2208080040420 is an apocalyptic number.

208080040420 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 208080040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253451721600).

208080040420 is an abundant number, since it is smaller than the sum of its proper divisors (298823402780).

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

208080040420 is a wasteful number, since it uses less digits than its factorization.

208080040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75013 (or 75011 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The spelling of 208080040420 in words is "two hundred eight billion, eighty million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 197 202 394 404 505 707 788 985 1010 1379 1414 1970 2020 2758 2828 3535 3940 5516 6895 7070 13790 14140 19897 27580 39794 74699 79588 99485 139279 149398 198970 278558 298796 373495 397940 522893 557116 696395 746990 1045786 1392790 1493980 2091572 2614465 2785580 5228930 7544599 10457860 14715703 15089198 29431406 30178396 37722995 52812193 58862812 73578515 75445990 103009921 105624386 147157030 150891980 206019842 211248772 264060965 294314060 412039684 515049605 528121930 1030099210 1056243860 1486286003 2060198420 2972572006 5945144012 7431430015 10404002021 14862860030 20808004042 29725720060 41616008084 52020010105 104040020210 208080040420