Search a number
-
+
13905716280 = 2335238575879
BaseRepresentation
bin11001111001101100…
…00110010000111000
31022220010001120121220
430330312012100320
5211434330410110
610215503432040
71001411431611
oct147466062070
938803046556
1013905716280
115996461505
122840bb5620
131407c1a1b1
1495cb72c08
15565c0c370
hex33cd86438

13905716280 has 128 divisors (see below), whose sum is σ = 43589145600. Its totient is φ = 3542223872.

The previous prime is 13905716269. The next prime is 13905716291. The reversal of 13905716280 is 8261750931.

It is an interprime number because it is at equal distance from previous prime (13905716269) and next prime (13905716291).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2362381 + ... + 2368259.

It is an arithmetic number, because the mean of its divisors is an integer number (340540200).

Almost surely, 213905716280 is an apocalyptic number.

13905716280 is a gapful number since it is divisible by the number (10) 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 13905716280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21794572800).

13905716280 is an abundant number, since it is smaller than the sum of its proper divisors (29683429320).

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

13905716280 is a wasteful number, since it uses less digits than its factorization.

13905716280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6773 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 13905716280 in words is "thirteen billion, nine hundred five million, seven hundred sixteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 857 920 1380 1714 2571 2760 3428 4285 5142 5879 6856 8570 10284 11758 12855 17140 17637 19711 20568 23516 25710 29395 34280 35274 39422 47032 51420 58790 59133 70548 78844 88185 98555 102840 117580 118266 135217 141096 157688 176370 197110 235160 236532 270434 295665 352740 394220 405651 473064 540868 591330 676085 705480 788440 811302 1081736 1182660 1352170 1622604 2028255 2365320 2704340 3245208 4056510 5038303 5408680 8113020 10076606 15114909 16226040 20153212 25191515 30229818 40306424 50383030 60459636 75574545 100766060 115880969 120919272 151149090 201532120 231761938 302298180 347642907 463523876 579404845 604596360 695285814 927047752 1158809690 1390571628 1738214535 2317619380 2781143256 3476429070 4635238760 6952858140 13905716280