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112612240 = 245131941139
BaseRepresentation
bin1101011011001…
…01001110010000
321211220021221201
412231211032100
5212312042430
615101400544
72535121366
oct655451620
9254807851
10112612240
1158626274
1231869154
131a43b380
1410d55636
159d468ca
hex6b65390

112612240 has 160 divisors (see below), whose sum is σ = 306230400. Its totient is φ = 38154240.

The previous prime is 112612237. The next prime is 112612261. The reversal of 112612240 is 42216211.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 810091 + ... + 810229.

It is an arithmetic number, because the mean of its divisors is an integer number (1913940).

Almost surely, 2112612240 is an apocalyptic number.

112612240 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 112612240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153115200).

112612240 is an abundant number, since it is smaller than the sum of its proper divisors (193618160).

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

112612240 is a wasteful number, since it uses less digits than its factorization.

112612240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 112612240 is about 10611.8914430935. The cubic root of 112612240 is about 482.9051819470.

Adding to 112612240 its reverse (42216211), we get a palindrome (154828451).

It can be divided in two parts, 1126 and 12240, that added together give a triangular number (13366 = T163).

The spelling of 112612240 in words is "one hundred twelve million, six hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 41 52 65 76 80 82 95 104 130 139 152 164 190 205 208 247 260 278 304 328 380 410 494 520 533 556 656 695 760 779 820 988 1040 1066 1112 1235 1390 1520 1558 1640 1807 1976 2132 2224 2470 2641 2665 2780 3116 3280 3614 3895 3952 4264 4940 5282 5330 5560 5699 6232 7228 7790 8528 9035 9880 10127 10564 10660 11120 11398 12464 13205 14456 15580 18070 19760 20254 21128 21320 22796 26410 28495 28912 31160 34333 36140 40508 42256 42640 45592 50635 52820 56990 62320 68666 72280 74087 81016 91184 101270 105640 108281 113980 137332 144560 148174 162032 171665 202540 211280 216562 227960 274664 296348 343330 370435 405080 433124 455920 541405 549328 592696 686660 740870 810160 866248 1082810 1185392 1373320 1407653 1481740 1732496 2165620 2746640 2815306 2963480 4331240 5630612 5926960 7038265 8662480 11261224 14076530 22522448 28153060 56306120 112612240