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112861080 = 23335313371
BaseRepresentation
bin1101011101000…
…01111110011000
321212100221022000
412232201332120
5212343023310
615111001000
72540206023
oct656417630
9255327260
10112861080
1158786222
1231969160
131a4c7707
1410dbc1ba
159d954c0
hex6ba1f98

112861080 has 128 divisors (see below), whose sum is σ = 388454400. Its totient is φ = 29116800.

The previous prime is 112861061. The next prime is 112861081. The reversal of 112861080 is 80168211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112861081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31795 + ... + 35165.

It is an arithmetic number, because the mean of its divisors is an integer number (3034800).

Almost surely, 2112861080 is an apocalyptic number.

112861080 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 112861080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194227200).

112861080 is an abundant number, since it is smaller than the sum of its proper divisors (275593320).

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

112861080 is a wasteful number, since it uses less digits than its factorization.

112861080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 112861080 is about 10623.6095560784. The cubic root of 112861080 is about 483.2606131841.

The spelling of 112861080 in words is "one hundred twelve million, eight hundred sixty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3371 3720 4185 5580 6696 6742 8370 10113 11160 13484 16740 16855 20226 26968 30339 33480 33710 40452 50565 60678 67420 80904 91017 101130 104501 121356 134840 151695 182034 202260 209002 242712 303390 313503 364068 404520 418004 455085 522505 606780 627006 728136 836008 910170 940509 1045010 1213560 1254012 1567515 1820340 1881018 2090020 2508024 2821527 3135030 3640680 3762036 4180040 4702545 5643054 6270060 7524072 9405090 11286108 12540120 14107635 18810180 22572216 28215270 37620360 56430540 112861080