Search a number
-
+
115428144 = 243131131637
BaseRepresentation
bin1101110000101…
…00101100110000
322001012100122110
412320110230300
5214022200034
615242005320
72601060126
oct670245460
9261170573
10115428144
115a179967
12327a6840
131abb5ca0
1411489916
15a200de9
hex6e14b30

115428144 has 80 divisors (see below), whose sum is σ = 324166752. Its totient is φ = 35180544.

The previous prime is 115428143. The next prime is 115428151. The reversal of 115428144 is 441824511.

It is not an unprimeable number, because it can be changed into a prime (115428143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69694 + ... + 71330.

Almost surely, 2115428144 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 115428144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162083376).

115428144 is an abundant number, since it is smaller than the sum of its proper divisors (208738608).

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

115428144 is a wasteful number, since it uses less digits than its factorization.

115428144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1768 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 115428144 is about 10743.7490663176. The cubic root of 115428144 is about 486.8971556825.

The spelling of 115428144 in words is "one hundred fifteen million, four hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 113 156 208 226 312 339 452 624 678 904 1356 1469 1637 1808 2712 2938 3274 4407 4911 5424 5876 6548 8814 9822 11752 13096 17628 19644 21281 23504 26192 35256 39288 42562 63843 70512 78576 85124 127686 170248 184981 255372 340496 369962 510744 554943 739924 1021488 1109886 1479848 2219772 2404753 2959696 4439544 4809506 7214259 8879088 9619012 14428518 19238024 28857036 38476048 57714072 115428144