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112027140 = 223251494177
BaseRepresentation
bin1101010110101…
…10011000000100
321210210120100100
412223112120010
5212134332030
615041044100
72530133511
oct653263004
9253716310
10112027140
1158266715
1231626630
131a294c64
1410c42308
159c7d360
hex6ad6604

112027140 has 72 divisors (see below), whose sum is σ = 342178200. Its totient is φ = 29666304.

The previous prime is 112027133. The next prime is 112027147. The reversal of 112027140 is 41720211.

It is an interprime number because it is at equal distance from previous prime (112027133) and next prime (112027147).

It can be written as a sum of positive squares in 4 ways, for example, as 13660416 + 98366724 = 3696^2 + 9918^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112027147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24732 + ... + 28908.

It is an arithmetic number, because the mean of its divisors is an integer number (4752475).

Almost surely, 2112027140 is an apocalyptic number.

112027140 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 112027140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171089100).

112027140 is an abundant number, since it is smaller than the sum of its proper divisors (230151060).

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

112027140 is a wasteful number, since it uses less digits than its factorization.

112027140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 112027140 is about 10584.2874110636. The cubic root of 112027140 is about 482.0673849650.

Adding to 112027140 its reverse (41720211), we get a palindrome (153747351).

The spelling of 112027140 in words is "one hundred twelve million, twenty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 596 745 894 1341 1490 1788 2235 2682 2980 4177 4470 5364 6705 8354 8940 12531 13410 16708 20885 25062 26820 37593 41770 50124 62655 75186 83540 125310 150372 187965 250620 375930 622373 751860 1244746 1867119 2489492 3111865 3734238 5601357 6223730 7468476 9335595 11202714 12447460 18671190 22405428 28006785 37342380 56013570 112027140