Search a number
-
+
112090860 = 223257175233
BaseRepresentation
bin1101010111001…
…01111011101100
321210220210202100
412223211323230
5212143401420
615042255100
72530520340
oct653457354
9253823670
10112090860
11582aa582
1231657490
131a2b7c6b
1410c5b620
159c92190
hex6ae5eec

112090860 has 144 divisors (see below), whose sum is σ = 411518016. Its totient is φ = 24109056.

The previous prime is 112090841. The next prime is 112090873. The reversal of 112090860 is 68090211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18804 + ... + 24036.

It is an arithmetic number, because the mean of its divisors is an integer number (2857764).

Almost surely, 2112090860 is an apocalyptic number.

112090860 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 112090860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205759008).

112090860 is an abundant number, since it is smaller than the sum of its proper divisors (299427156).

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

112090860 is a wasteful number, since it uses less digits than its factorization.

112090860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272 (or 5267 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 112090860 is about 10587.2971054939. The cubic root of 112090860 is about 482.1587661300.

The spelling of 112090860 in words is "one hundred twelve million, ninety thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5233 5355 7140 10466 10710 15699 20932 21420 26165 31398 36631 47097 52330 62796 73262 78495 88961 94194 104660 109893 146524 156990 177922 183155 188388 219786 235485 266883 313980 329679 355844 366310 439572 444805 470970 533766 549465 622727 659358 732620 800649 889610 941940 1067532 1098930 1245454 1318716 1334415 1601298 1648395 1779220 1868181 2197860 2490908 2668830 3113635 3202596 3296790 3736362 4003245 5337660 5604543 6227270 6593580 7472724 8006490 9340905 11209086 12454540 16012980 18681810 22418172 28022715 37363620 56045430 112090860