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112106720 = 2551163697
BaseRepresentation
bin1101010111010…
…01110011100000
321210221121111202
412223221303200
5212144403340
615042500332
72530614515
oct653516340
9253847452
10112106720
1158310490
12316646a8
131a2c224b
1410c6330c
159c96c15
hex6ae9ce0

112106720 has 48 divisors (see below), whose sum is σ = 288934128. Its totient is φ = 40765440.

The previous prime is 112106711. The next prime is 112106723. The reversal of 112106720 is 27601211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112106692 and 112106701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112106723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30089 + ... + 33608.

It is an arithmetic number, because the mean of its divisors is an integer number (6019461).

Almost surely, 2112106720 is an apocalyptic number.

112106720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112106720 is an abundant number, since it is smaller than the sum of its proper divisors (176827408).

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

112106720 is a wasteful number, since it uses less digits than its factorization.

112106720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63723 (or 63715 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 112106720 is about 10588.0460898128. The cubic root of 112106720 is about 482.1815056510.

Adding to 112106720 its reverse (27601211), we get a palindrome (139707931).

The spelling of 112106720 in words is "one hundred twelve million, one hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 63697 127394 254788 318485 509576 636970 700667 1019152 1273940 1401334 2038304 2547880 2802668 3503335 5095760 5605336 7006670 10191520 11210672 14013340 22421344 28026680 56053360 112106720