Search a number
-
+
115411104 = 2532537561
BaseRepresentation
bin1101110000100…
…00100010100000
322001011111021100
412320100202200
5214021123404
615241354400
72600656344
oct670204240
9261144240
10115411104
115a168086
1232798a00
131abab2c3
1411483624
15a1ead39
hex6e108a0

115411104 has 72 divisors (see below), whose sum is σ = 334437012. Its totient is φ = 37739520.

The previous prime is 115411067. The next prime is 115411133. The reversal of 115411104 is 401114511.

115411104 is a `hidden beast` number, since 11 + 541 + 110 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115347600 + 63504 = 10740^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 11484 + ... + 19044.

Almost surely, 2115411104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167218506).

115411104 is an abundant number, since it is smaller than the sum of its proper divisors (219025908).

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

115411104 is a wasteful number, since it uses less digits than its factorization.

115411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7630 (or 7619 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 115411104 is about 10742.9560177821. The cubic root of 115411104 is about 486.8731952180.

Adding to 115411104 its reverse (401114511), we get a palindrome (516525615).

The spelling of 115411104 in words is "one hundred fifteen million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7561 7632 15122 15264 22683 30244 45366 60488 68049 90732 120976 136098 181464 241952 272196 362928 400733 544392 725856 801466 1088784 1202199 1602932 2177568 2404398 3205864 3606597 4808796 6411728 7213194 9617592 12823456 14426388 19235184 28852776 38470368 57705552 115411104