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112428540 = 2233573607
BaseRepresentation
bin1101011001110…
…00010111111100
321211112221222000
412230320113330
5212240203130
615053422300
72533425000
oct654702774
9254487860
10112428540
1158510254
123179a990
131a3a5883
1410d08700
159d0c260
hex6b385fc

112428540 has 192 divisors, whose sum is σ = 408576000. Its totient is φ = 25655616.

The previous prime is 112428539. The next prime is 112428581. The reversal of 112428540 is 45824211.

112428540 is a `hidden beast` number, since 112 + 4 + 2 + 8 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184917 + ... + 185523.

It is an arithmetic number, because the mean of its divisors is an integer number (2128000).

Almost surely, 2112428540 is an apocalyptic number.

112428540 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 112428540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204288000).

112428540 is an abundant number, since it is smaller than the sum of its proper divisors (296147460).

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

112428540 is a wasteful number, since it uses less digits than its factorization.

112428540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 112428540 is about 10603.2325259800. The cubic root of 112428540 is about 482.6424575104.

The spelling of 112428540 in words is "one hundred twelve million, four hundred twenty-eight thousand, five hundred forty".