Search a number
-
+
17240802432 = 273710915879
BaseRepresentation
bin10000000011101000…
…011100010010000000
31122111112121111202020
4100003220130102000
5240302121134212
611530442121440
71150146255060
oct200350342200
948445544666
1017240802432
117347a90057
123411ab0280
131819b65559
14b97a833a0
156ad8e0d8c
hex403a1c480

17240802432 has 128 divisors (see below), whose sum is σ = 52395033600. Its totient is φ = 4920591360.

The previous prime is 17240802419. The next prime is 17240802479. The reversal of 17240802432 is 23420804271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×172408024322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 17240802393 and 17240802402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2929669 + ... + 2935547.

It is an arithmetic number, because the mean of its divisors is an integer number (409336200).

Almost surely, 217240802432 is an apocalyptic number.

17240802432 is a gapful number since it is divisible by the number (12) 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 17240802432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26197516800).

17240802432 is an abundant number, since it is smaller than the sum of its proper divisors (35154231168).

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

17240802432 is a wasteful number, since it uses less digits than its factorization.

17240802432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 17240802432 in words is "seventeen billion, two hundred forty million, eight hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1091 1344 2182 2688 3273 4364 5879 6546 7637 8728 11758 13092 15274 17456 17637 22911 23516 26184 30548 34912 35274 41153 45822 47032 52368 61096 69824 70548 82306 91644 94064 104736 122192 123459 139648 141096 164612 183288 188128 209472 244384 246918 282192 329224 366576 376256 418944 488768 493836 564384 658448 733152 752512 977536 987672 1128768 1316896 1466304 1975344 2257536 2633792 2932608 3950688 5267584 6413989 7901376 12827978 15802752 19241967 25655956 38483934 44897923 51311912 76967868 89795846 102623824 134693769 153935736 179591692 205247648 269387538 307871472 359183384 410495296 538775076 615742944 718366768 820990592 1077550152 1231485888 1436733536 2155100304 2462971776 2873467072 4310200608 5746934144 8620401216 17240802432