Search a number
-
+
113466024 = 233271721941
BaseRepresentation
bin1101100001101…
…01101010101000
321220111200010100
412300311222220
5213021403044
615131545400
72545305510
oct660655250
9256450110
10113466024
1159059781
1231bbb260
131a679b79
14110d8840
159e64869
hex6c35aa8

113466024 has 288 divisors, whose sum is σ = 402292800. Its totient is φ = 28200960.

The previous prime is 113465993. The next prime is 113466047. The reversal of 113466024 is 420664311.

113466024 is a `hidden beast` number, since 1 + 13 + 46 + 602 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2767444 + ... + 2767484.

It is an arithmetic number, because the mean of its divisors is an integer number (1396850).

Almost surely, 2113466024 is an apocalyptic number.

113466024 is a gapful number since it is divisible by the number (14) 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 113466024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201146400).

113466024 is an abundant number, since it is smaller than the sum of its proper divisors (288826776).

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

113466024 is a wasteful number, since it uses less digits than its factorization.

113466024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 113466024 is about 10652.0431842910. The cubic root of 113466024 is about 484.1225129836.

The spelling of 113466024 in words is "one hundred thirteen million, four hundred sixty-six thousand, twenty-four".