Search a number
-
+
113006718 = 233111719231
BaseRepresentation
bin1101011110001…
…01100001111110
321212122100002000
412233011201332
5212412203333
615114043130
72541353436
oct657054176
9255570060
10113006718
1158875690
1231a194a6
131a548aa6
14110192c6
159dc3713
hex6bc587e

113006718 has 192 divisors, whose sum is σ = 316016640. Its totient is φ = 29548800.

The previous prime is 113006717. The next prime is 113006723. The reversal of 113006718 is 817600311.

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

It is a junction number, because it is equal to n+sod(n) for n = 113006691 and 113006700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113006713) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3645363 + ... + 3645393.

It is an arithmetic number, because the mean of its divisors is an integer number (1645920).

Almost surely, 2113006718 is an apocalyptic number.

113006718 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113006718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158008320).

113006718 is an abundant number, since it is smaller than the sum of its proper divisors (203009922).

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

113006718 is a wasteful number, since it uses less digits than its factorization.

113006718 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 113006718 is about 10630.4617961780. The cubic root of 113006718 is about 483.4683932774.

The spelling of 113006718 in words is "one hundred thirteen million, six thousand, seven hundred eighteen".