Search a number
-
+
112909248 = 2633192181
BaseRepresentation
bin1101011101011…
…01101111000000
321212110101101000
412232231233000
5212401043443
615112012000
72540466324
oct656555700
9255411330
10112909248
1158809431
1231991000
131a51360a
1410dd1984
159da48d3
hex6badbc0

112909248 has 168 divisors, whose sum is σ = 352257360. Its totient is φ = 35458560.

The previous prime is 112909207. The next prime is 112909297. The reversal of 112909248 is 842909211.

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 23 ways as a sum of consecutive naturals, for example, 623718 + ... + 623898.

It is an arithmetic number, because the mean of its divisors is an integer number (2096770).

Almost surely, 2112909248 is an apocalyptic number.

112909248 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 112909248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176128680).

112909248 is an abundant number, since it is smaller than the sum of its proper divisors (239348112).

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

112909248 is a wasteful number, since it uses less digits than its factorization.

112909248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 112909248 is about 10625.8763403307. The cubic root of 112909248 is about 483.3293536996.

The spelling of 112909248 in words is "one hundred twelve million, nine hundred nine thousand, two hundred forty-eight".