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112442000 = 24531119269
BaseRepresentation
bin1101011001110…
…11101010010000
321211120122102112
412230323222100
5212241121000
615054004452
72533512146
oct654735220
9254518375
10112442000
115851a380
12317a6728
131a3aba38
1410d0d596
159d11235
hex6b3ba90

112442000 has 160 divisors (see below), whose sum is σ = 313372800. Its totient is φ = 38592000.

The previous prime is 112441957. The next prime is 112442017. The reversal of 112442000 is 244211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417866 + ... + 418134.

It is an arithmetic number, because the mean of its divisors is an integer number (1958580).

Almost surely, 2112442000 is an apocalyptic number.

112442000 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 112442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

112442000 is an abundant number, since it is smaller than the sum of its proper divisors (200930800).

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

112442000 is a wasteful number, since it uses less digits than its factorization.

112442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 112442000 is about 10603.8672190857. The cubic root of 112442000 is about 482.6617174725.

Adding to 112442000 its reverse (244211), we get a palindrome (112686211).

The spelling of 112442000 in words is "one hundred twelve million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 38 40 44 50 55 76 80 88 95 100 110 125 152 176 190 200 209 220 250 269 275 304 380 400 418 440 475 500 538 550 760 836 880 950 1000 1045 1076 1100 1345 1375 1520 1672 1900 2000 2090 2152 2200 2375 2690 2750 2959 3344 3800 4180 4304 4400 4750 5111 5225 5380 5500 5918 6725 7600 8360 9500 10222 10450 10760 11000 11836 13450 14795 16720 19000 20444 20900 21520 22000 23672 25555 26125 26900 29590 33625 38000 40888 41800 47344 51110 52250 53800 56221 59180 67250 73975 81776 83600 102220 104500 107600 112442 118360 127775 134500 147950 204440 209000 224884 236720 255550 269000 281105 295900 369875 408880 418000 449768 511100 538000 562210 591800 638875 739750 899536 1022200 1124420 1183600 1277750 1405525 1479500 2044400 2248840 2555500 2811050 2959000 4497680 5111000 5622100 5918000 7027625 10222000 11244200 14055250 22488400 28110500 56221000 112442000