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112381560 = 23335176121
BaseRepresentation
bin1101011001011…
…00111001111000
321211110120112000
412230230321320
5212232202220
615052421000
72533141014
oct654547170
9254416460
10112381560
1158488a25
1231777760
131a38a385
1410cd5544
159ced390
hex6b2ce78

112381560 has 128 divisors (see below), whose sum is σ = 396705600. Its totient is φ = 28200960.

The previous prime is 112381547. The next prime is 112381567. The reversal of 112381560 is 65183211.

112381560 is a `hidden beast` number, since 1 + 1 + 23 + 81 + 560 = 666.

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 (112381567) 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, 15300 + ... + 21420.

Almost surely, 2112381560 is an apocalyptic number.

112381560 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 112381560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198352800).

112381560 is an abundant number, since it is smaller than the sum of its proper divisors (284324040).

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

112381560 is a wasteful number, since it uses less digits than its factorization.

112381560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 112381560 is about 10601.0169323513. The cubic root of 112381560 is about 482.5752216120.

The spelling of 112381560 in words is "one hundred twelve million, three hundred eighty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 6121 9180 12242 18360 18363 24484 30605 36726 48968 55089 61210 73452 91815 104057 110178 122420 146904 165267 183630 208114 220356 244840 275445 312171 330534 367260 416228 440712 520285 550890 624342 661068 734520 826335 832456 936513 1040570 1101780 1248684 1322136 1560855 1652670 1873026 2081140 2203560 2497368 2809539 3121710 3305340 3746052 4162280 4682565 5619078 6243420 6610680 7492104 9365130 11238156 12486840 14047695 18730260 22476312 28095390 37460520 56190780 112381560