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112831290 = 232511213797
BaseRepresentation
bin1101011100110…
…10101100111010
321212022102102200
412232122230322
5212341100130
615110211030
72540023125
oct656325472
9255272380
10112831290
1158765900
1231953a76
131a4b6ca0
1410db13bc
159d8b760
hex6b9ab3a

112831290 has 144 divisors (see below), whose sum is σ = 347694984. Its totient is φ = 25217280.

The previous prime is 112831267. The next prime is 112831297. The reversal of 112831290 is 92138211.

It can be written as a sum of positive squares in 4 ways, for example, as 69705801 + 43125489 = 8349^2 + 6567^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112831297) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141172 + ... + 141968.

Almost surely, 2112831290 is an apocalyptic number.

112831290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112831290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173847492).

112831290 is an abundant number, since it is smaller than the sum of its proper divisors (234863694).

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

112831290 is a wasteful number, since it uses less digits than its factorization.

112831290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 831 counting only the distinct ones).

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

The square root of 112831290 is about 10622.2073977116. The cubic root of 112831290 is about 483.2180901091.

The spelling of 112831290 in words is "one hundred twelve million, eight hundred thirty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 121 130 143 165 195 198 234 242 286 330 363 390 429 495 585 605 715 726 797 858 990 1089 1170 1210 1287 1430 1573 1594 1815 2145 2178 2391 2574 3146 3630 3985 4290 4719 4782 5445 6435 7173 7865 7970 8767 9438 10361 10890 11955 12870 14157 14346 15730 17534 20722 23595 23910 26301 28314 31083 35865 43835 47190 51805 52602 62166 70785 71730 78903 87670 93249 96437 103610 113971 131505 141570 155415 157806 186498 192874 227942 263010 289311 310830 341913 394515 466245 482185 569855 578622 683826 789030 867933 932490 964370 1025739 1139710 1253681 1446555 1709565 1735866 2051478 2507362 2893110 3419130 3761043 4339665 5128695 6268405 7522086 8679330 10257390 11283129 12536810 18805215 22566258 37610430 56415645 112831290