Search a number
-
+
115235300 = 22521736661
BaseRepresentation
bin1101101111001…
…01100111100100
322000211120010002
412313211213210
5214000012200
615233520432
72566324655
oct667454744
9260746102
10115235300
115a057a94
1232713118
131ab4928b
141143952c
15a1b3bd5
hex6de59e4

115235300 has 36 divisors (see below), whose sum is σ = 251543796. Its totient is φ = 45820800.

The previous prime is 115235293. The next prime is 115235317. The reversal of 115235300 is 3532511.

It can be written as a sum of positive squares in 6 ways, for example, as 14915044 + 100320256 = 3862^2 + 10016^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13970 + ... + 20630.

Almost surely, 2115235300 is an apocalyptic number.

115235300 is a gapful number since it is divisible by the number (10) 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 115235300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125771898).

115235300 is an abundant number, since it is smaller than the sum of its proper divisors (136308496).

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

115235300 is a wasteful number, since it uses less digits than its factorization.

115235300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6848 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 115235300 is about 10734.7706077028. The cubic root of 115235300 is about 486.6258540450.

Adding to 115235300 its reverse (3532511), we get a palindrome (118767811).

The spelling of 115235300 in words is "one hundred fifteen million, two hundred thirty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3460 4325 6661 8650 13322 17300 26644 33305 66610 133220 166525 333050 666100 1152353 2304706 4609412 5761765 11523530 23047060 28808825 57617650 115235300