Search a number
-
+
113200032 = 25311107197
BaseRepresentation
bin1101011111101…
…00101110100000
321220000011020210
412233310232200
5212434400112
615122134120
72543120151
oct657645640
9256004223
10113200032
1158997950
1231ab1340
131a5b5a8a
1411069928
159e10b3c
hex6bf4ba0

113200032 has 48 divisors (see below), whose sum is σ = 324166752. Its totient is φ = 34302720.

The previous prime is 113200027. The next prime is 113200033. The reversal of 113200032 is 230002311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 113199990 and 113200017.

It is not an unprimeable number, because it can be changed into a prime (113200033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52543 + ... + 54654.

It is an arithmetic number, because the mean of its divisors is an integer number (6753474).

Almost surely, 2113200032 is an apocalyptic number.

113200032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113200032 is an abundant number, since it is smaller than the sum of its proper divisors (210966720).

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

113200032 is a wasteful number, since it uses less digits than its factorization.

113200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107221 (or 107213 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 113200032 is about 10639.5503664394. The cubic root of 113200032 is about 483.7439166219.

Adding to 113200032 its reverse (230002311), we get a palindrome (343202343).

The spelling of 113200032 in words is "one hundred thirteen million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 107197 214394 321591 428788 643182 857576 1179167 1286364 1715152 2358334 2572728 3430304 3537501 4716668 5145456 7075002 9433336 10290912 14150004 18866672 28300008 37733344 56600016 113200032