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9001112560 = 2451122340429
BaseRepresentation
bin10000110001000001…
…00001001111110000
3212020022011220011021
420120200201033300
5121413241100220
64045101025224
7436025123446
oct103040411760
925208156137
109001112560
1138a9991100
1218b2555214
13b05a7c80b
14615624b96
1537a34b4aa
hex2188213f0

9001112560 has 120 divisors (see below), whose sum is σ = 24003776160. Its totient is φ = 3130744320.

The previous prime is 9001112531. The next prime is 9001112563. The reversal of 9001112560 is 652111009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9001112563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202426 + ... + 242854.

It is an arithmetic number, because the mean of its divisors is an integer number (200031468).

Almost surely, 29001112560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9001112560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12001888080).

9001112560 is an abundant number, since it is smaller than the sum of its proper divisors (15002663600).

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

9001112560 is a wasteful number, since it uses less digits than its factorization.

9001112560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40487 (or 40470 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 25.

The square root of 9001112560 is about 94874.1933299040. The cubic root of 9001112560 is about 2080.1695313002.

Adding to 9001112560 its reverse (652111009), we get a palindrome (9653223569).

The spelling of 9001112560 in words is "nine billion, one million, one hundred twelve thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 121 176 184 220 230 242 253 368 440 460 484 506 605 880 920 968 1012 1210 1265 1840 1936 2024 2420 2530 2783 4048 4840 5060 5566 9680 10120 11132 13915 20240 22264 27830 40429 44528 55660 80858 111320 161716 202145 222640 323432 404290 444719 646864 808580 889438 929867 1617160 1778876 1859734 2223595 3234320 3557752 3719468 4447190 4649335 4891909 7115504 7438936 8894380 9298670 9783818 10228537 14877872 17788760 18597340 19567636 20457074 24459545 35577520 37194680 39135272 40914148 48919090 51142685 74389360 78270544 81828296 97838180 102285370 112513907 163656592 195676360 204570740 225027814 391352720 409141480 450055628 562569535 818282960 900111256 1125139070 1800222512 2250278140 4500556280 9001112560