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9027000112 = 24133137157241
BaseRepresentation
bin10000110100000110…
…10001011100110000
3212022002220010012111
420122003101130300
5121441403000422
64051423535104
7436461143404
oct103203213460
925262803174
109027000112
113912562879
1218bb15a494
13b0b2449b0
14618c43104
1537c761a77
hex21a0d1730

9027000112 has 160 divisors (see below), whose sum is σ = 20178819584. Its totient is φ = 3881779200.

The previous prime is 9027000091. The next prime is 9027000127. The reversal of 9027000112 is 2110007209.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37456312 + ... + 37456552.

Almost surely, 29027000112 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 9027000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10089409792).

9027000112 is an abundant number, since it is smaller than the sum of its proper divisors (11151819472).

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

9027000112 is a wasteful number, since it uses less digits than its factorization.

9027000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 9027000112 is about 95010.5263220871. The cubic root of 9027000112 is about 2082.1618388623.

The spelling of 9027000112 in words is "nine billion, twenty-seven million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 31 37 52 62 74 104 124 148 157 208 241 248 296 314 403 481 482 496 592 628 806 962 964 1147 1256 1612 1924 1928 2041 2294 2512 3133 3224 3848 3856 4082 4588 4867 5809 6266 6448 7471 7696 8164 8917 9176 9734 11618 12532 14911 14942 16328 17834 18352 19468 23236 25064 29822 29884 32656 35668 37837 38936 46472 50128 59644 59768 63271 71336 75517 75674 77872 92944 97123 115921 119288 119536 126542 142672 151034 151348 180079 194246 231842 238576 253084 276427 302068 302696 360158 388492 463684 491881 506168 552854 604136 605392 720316 776984 927368 983762 1012336 1105708 1172947 1208272 1399969 1440632 1553968 1854736 1967524 2211416 2341027 2345894 2799938 2881264 3593551 3935048 4422832 4682054 4691788 5599876 7187102 7870096 9364108 9383576 11199752 14374204 15248311 18199597 18728216 18767152 22399504 28748408 30496622 36399194 37456432 43399039 57496816 60993244 72798388 86798078 121986488 145596776 173596156 243972976 291193552 347192312 564187507 694384624 1128375014 2256750028 4513500056 9027000112