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112075488 = 253572971
BaseRepresentation
bin1101010111000…
…10001011100000
321210220000200000
412223202023200
5212142403423
615042100000
72530424460
oct653421340
9253800600
10112075488
1158299a78
123164a600
131a2b0c75
1410c55ba0
159c8c843
hex6ae22e0

112075488 has 288 divisors, whose sum is σ = 396264960. Its totient is φ = 30481920.

The previous prime is 112075463. The next prime is 112075493. The reversal of 112075488 is 884570211.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1578493 + ... + 1578563.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2112075488 is an apocalyptic number.

112075488 is a gapful number since it is divisible by the number (18) 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 112075488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

112075488 is an abundant number, since it is smaller than the sum of its proper divisors (284189472).

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

112075488 is an equidigital number, since it uses as much as digits as its factorization.

112075488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 112075488 is about 10586.5711162775. The cubic root of 112075488 is about 482.1367242394.

The spelling of 112075488 in words is "one hundred twelve million, seventy-five thousand, four hundred eighty-eight".