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20840675760 = 2433540124061
BaseRepresentation
bin10011011010001100…
…110111100110110000
31222210102102000121000
4103122030313212300
5320140203111020
613324000002000
71335310551432
oct233214674660
958712360530
1020840675760
118925022183
124057600300
131c718ccb08
141019bdc652
1581e97a090
hex4da3379b0

20840675760 has 160 divisors (see below), whose sum is σ = 71966554560. Its totient is φ = 5543424000.

The previous prime is 20840675731. The next prime is 20840675761. The reversal of 20840675760 is 6757604802.

It is a super-2 number, since 2×208406757602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20840675761) 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, 854130 + ... + 878190.

It is an arithmetic number, because the mean of its divisors is an integer number (449790966).

Almost surely, 220840675760 is an apocalyptic number.

20840675760 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 20840675760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35983277280).

20840675760 is an abundant number, since it is smaller than the sum of its proper divisors (51125878800).

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

20840675760 is a wasteful number, since it uses less digits than its factorization.

20840675760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24484 (or 24472 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 20840675760 in words is "twenty billion, eight hundred forty million, six hundred seventy-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 401 432 540 720 802 1080 1203 1604 2005 2160 2406 3208 3609 4010 4812 6015 6416 7218 8020 9624 10827 12030 14436 16040 18045 19248 21654 24060 24061 28872 32080 36090 43308 48120 48122 54135 57744 72180 72183 86616 96240 96244 108270 120305 144360 144366 173232 192488 216540 216549 240610 288720 288732 360915 384976 433080 433098 481220 577464 649647 721830 866160 866196 962440 1082745 1154928 1299294 1443660 1732392 1924880 2165490 2598588 2887320 3248235 3464784 4330980 5197176 5774640 6496470 8661960 9648461 10394352 12992940 17323920 19296922 25985880 28945383 38593844 48242305 51971760 57890766 77187688 86836149 96484610 115781532 144726915 154375376 173672298 192969220 231563064 260508447 289453830 347344596 385938440 434180745 463126128 521016894 578907660 694689192 771876880 868361490 1042033788 1157815320 1302542235 1389378384 1736722980 2084067576 2315630640 2605084470 3473445960 4168135152 5210168940 6946891920 10420337880 20840675760