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115240200 = 233522937179
BaseRepresentation
bin1101101111001…
…10110100001000
322000211210211120
412313212310020
5214000141300
615233555240
72566345155
oct667466410
9260753746
10115240200
115a060739
1232715b20
131ab4b58a
141143b22c
15a1b53a0
hex6de6d08

115240200 has 192 divisors, whose sum is σ = 381672000. Its totient is φ = 28707840.

The previous prime is 115240159. The next prime is 115240207. The reversal of 115240200 is 2042511.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 115240200.

It is not an unprimeable number, because it can be changed into a prime (115240207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643711 + ... + 643889.

It is an arithmetic number, because the mean of its divisors is an integer number (1987875).

Almost surely, 2115240200 is an apocalyptic number.

115240200 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 115240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190836000).

115240200 is an abundant number, since it is smaller than the sum of its proper divisors (266431800).

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

115240200 is a wasteful number, since it uses less digits than its factorization.

115240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 115240200 is about 10734.9988355845. The cubic root of 115240200 is about 486.6327513322.

Adding to 115240200 its reverse (2042511), we get a palindrome (117282711).

It can be divided in two parts, 115240 and 200, that added together give a triangular number (115440 = T480).

The spelling of 115240200 in words is "one hundred fifteen million, two hundred forty thousand, two hundred".