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112380240 = 24357151443
BaseRepresentation
bin1101011001011…
…00100101010000
321211110111201010
412230230211100
5212232131430
615052410520
72533134120
oct654544520
9254414633
10112380240
1158487a35
1231776a40
131a3898ab
1410cd4c80
159ceccb0
hex6b2c950

112380240 has 160 divisors (see below), whose sum is σ = 401688576. Its totient is φ = 25459200.

The previous prime is 112380227. The next prime is 112380241. The reversal of 112380240 is 42083211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112380241) 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, 253459 + ... + 253901.

Almost surely, 2112380240 is an apocalyptic number.

112380240 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 112380240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200844288).

112380240 is an abundant number, since it is smaller than the sum of its proper divisors (289308336).

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

112380240 is a wasteful number, since it uses less digits than its factorization.

112380240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 112380240 is about 10600.9546739905. The cubic root of 112380240 is about 482.5733322101.

The spelling of 112380240 in words is "one hundred twelve million, three hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 151 168 210 240 280 302 336 420 443 453 560 604 755 840 886 906 1057 1208 1329 1510 1680 1772 1812 2114 2215 2265 2416 2658 3020 3101 3171 3544 3624 4228 4430 4530 5285 5316 6040 6202 6342 6645 7088 7248 8456 8860 9060 9303 10570 10632 12080 12404 12684 13290 15505 15855 16912 17720 18120 18606 21140 21264 24808 25368 26580 31010 31710 35440 36240 37212 42280 46515 49616 50736 53160 62020 63420 66893 74424 84560 93030 106320 124040 126840 133786 148848 186060 200679 248080 253680 267572 334465 372120 401358 468251 535144 668930 744240 802716 936502 1003395 1070288 1337860 1404753 1605432 1873004 2006790 2341255 2675720 2809506 3210864 3746008 4013580 4682510 5351440 5619012 7023765 7492016 8027160 9365020 11238024 14047530 16054320 18730040 22476048 28095060 37460080 56190120 112380240