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112000140 = 223257103863
BaseRepresentation
bin1101010110011…
…11110010001100
321210202012022100
412223033302030
5212133001030
615040315100
72526662010
oct653176214
9253665270
10112000140
11582483aa
1231612a90
131a285895
1410c36540
159c75360
hex6acfc8c

112000140 has 144 divisors (see below), whose sum is σ = 392491008. Its totient is φ = 25322112.

The previous prime is 112000123. The next prime is 112000219. The reversal of 112000140 is 41000211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129349 + ... + 130211.

It is an arithmetic number, because the mean of its divisors is an integer number (2725632).

Almost surely, 2112000140 is an apocalyptic number.

112000140 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 112000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196245504).

112000140 is an abundant number, since it is smaller than the sum of its proper divisors (280490868).

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

112000140 is a wasteful number, since it uses less digits than its factorization.

112000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112000140 is about 10583.0118586346. The cubic root of 112000140 is about 482.0286536802.

Adding to 112000140 its reverse (41000211), we get a palindrome (153000351).

The spelling of 112000140 in words is "one hundred twelve million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 103 105 126 140 180 206 210 252 309 315 412 420 515 618 630 721 863 927 1030 1236 1260 1442 1545 1726 1854 2060 2163 2589 2884 3090 3452 3605 3708 4315 4326 4635 5178 6041 6180 6489 7210 7767 8630 8652 9270 10356 10815 12082 12945 12978 14420 15534 17260 18123 18540 21630 24164 25890 25956 30205 31068 32445 36246 38835 43260 51780 54369 60410 64890 72492 77670 88889 90615 108738 120820 129780 155340 177778 181230 217476 266667 271845 355556 362460 444445 533334 543690 622223 800001 888890 1066668 1087380 1244446 1333335 1600002 1777780 1866669 2488892 2666670 3111115 3200004 3733338 4000005 5333340 5600007 6222230 7466676 8000010 9333345 11200014 12444460 16000020 18666690 22400028 28000035 37333380 56000070 112000140