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112013440 = 2757112273
BaseRepresentation
bin1101010110100…
…11000010000000
321210202212112221
412223103002000
5212133412230
615040500424
72530045540
oct653230200
9253685487
10112013440
11582573a0
123161a714
131a28b956
1410c3b320
159c7927a
hex6ad3080

112013440 has 128 divisors (see below), whose sum is σ = 334005120. Its totient is φ = 34897920.

The previous prime is 112013431. The next prime is 112013441. The reversal of 112013440 is 44310211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (112013441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48144 + ... + 50416.

It is an arithmetic number, because the mean of its divisors is an integer number (2609415).

Almost surely, 2112013440 is an apocalyptic number.

112013440 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 112013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167002560).

112013440 is an abundant number, since it is smaller than the sum of its proper divisors (221991680).

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

112013440 is a wasteful number, since it uses less digits than its factorization.

112013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 112013440 is about 10583.6402055248. The cubic root of 112013440 is about 482.0477332020.

Adding to 112013440 its reverse (44310211), we get a palindrome (156323651).

It can be divided in two parts, 11201 and 3440, that added together give a palindrome (14641).

The spelling of 112013440 in words is "one hundred twelve million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1408 1540 1760 2240 2273 2464 3080 3520 4480 4546 4928 6160 7040 9092 9856 11365 12320 15911 18184 22730 24640 25003 31822 36368 45460 49280 50006 63644 72736 79555 90920 100012 125015 127288 145472 159110 175021 181840 200024 250030 254576 290944 318220 350042 363680 400048 500060 509152 636440 700084 727360 800096 875105 1000120 1018304 1272880 1400168 1454720 1600192 1750210 2000240 2036608 2545760 2800336 3200384 3500420 4000480 5091520 5600672 7000840 8000960 10183040 11201344 14001680 16001920 22402688 28003360 56006720 112013440