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112391280 = 2433561853
BaseRepresentation
bin1101011001011…
…11010001110000
321211111001212000
412230233101300
5212233010110
615052534000
72533211241
oct654572160
9254431760
10112391280
1158495261
1231781300
131a391921
1410cd8cc8
159d011c0
hex6b2f470

112391280 has 160 divisors (see below), whose sum is σ = 393933120. Its totient is φ = 29445120.

The previous prime is 112391273. The next prime is 112391287. The reversal of 112391280 is 82193211.

It is an interprime number because it is at equal distance from previous prime (112391273) and next prime (112391287).

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 (112391287) 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, 131334 + ... + 132186.

It is an arithmetic number, because the mean of its divisors is an integer number (2462082).

Almost surely, 2112391280 is an apocalyptic number.

112391280 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 112391280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196966560).

112391280 is an abundant number, since it is smaller than the sum of its proper divisors (281541840).

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

112391280 is a wasteful number, since it uses less digits than its factorization.

112391280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 112391280 is about 10601.4753690229. The cubic root of 112391280 is about 482.5891340247.

The spelling of 112391280 in words is "one hundred twelve million, three hundred ninety-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 61 72 80 90 108 120 122 135 144 180 183 216 240 244 270 305 360 366 432 488 540 549 610 720 732 853 915 976 1080 1098 1220 1464 1647 1706 1830 2160 2196 2440 2559 2745 2928 3294 3412 3660 4265 4392 4880 5118 5490 6588 6824 7320 7677 8235 8530 8784 10236 10980 12795 13176 13648 14640 15354 16470 17060 20472 21960 23031 25590 26352 30708 32940 34120 38385 40944 43920 46062 51180 52033 61416 65880 68240 76770 92124 102360 104066 115155 122832 131760 153540 156099 184248 204720 208132 230310 260165 307080 312198 368496 416264 460620 468297 520330 614160 624396 780495 832528 921240 936594 1040660 1248792 1404891 1560990 1842480 1873188 2081320 2341485 2497584 2809782 3121980 3746376 4162640 4682970 5619564 6243960 7024455 7492752 9365940 11239128 12487920 14048910 18731880 22478256 28097820 37463760 56195640 112391280