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115124256 = 25321397317
BaseRepresentation
bin1101101110010…
…10100000100000
322000121220210100
412313022200200
5213432434011
615231302400
72565353142
oct667124040
9260556710
10115124256
1159a91615
123267aa00
131ab0a880
141140ac92
15a190d56
hex6dca820

115124256 has 144 divisors (see below), whose sum is σ = 357326424. Its totient is φ = 34947072.

The previous prime is 115124231. The next prime is 115124311. The reversal of 115124256 is 652421511.

It can be written as a sum of positive squares in 4 ways, for example, as 45968400 + 69155856 = 6780^2 + 8316^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363010 + ... + 363326.

Almost surely, 2115124256 is an apocalyptic number.

115124256 is a gapful number since it is divisible by the number (16) 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 115124256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178663212).

115124256 is an abundant number, since it is smaller than the sum of its proper divisors (242202168).

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

115124256 is a wasteful number, since it uses less digits than its factorization.

115124256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 432 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 115124256 is about 10729.5971965400. The cubic root of 115124256 is about 486.4694949901.

Adding to 115124256 its reverse (652421511), we get a palindrome (767545767).

The spelling of 115124256 in words is "one hundred fifteen million, one hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 97 104 117 144 156 194 208 234 288 291 312 317 388 416 468 582 624 634 776 873 936 951 1164 1248 1261 1268 1552 1746 1872 1902 2328 2522 2536 2853 3104 3492 3744 3783 3804 4121 4656 5044 5072 5706 6984 7566 7608 8242 9312 10088 10144 11349 11412 12363 13968 15132 15216 16484 20176 22698 22824 24726 27936 30264 30432 30749 32968 37089 40352 45396 45648 49452 60528 61498 65936 74178 90792 91296 92247 98904 121056 122996 131872 148356 181584 184494 197808 245992 276741 296712 363168 368988 395616 399737 491984 553482 593424 737976 799474 983968 1106964 1186848 1199211 1475952 1598948 2213928 2398422 2951904 3197896 3597633 4427856 4796844 6395792 7195266 8855712 9593688 12791584 14390532 19187376 28781064 38374752 57562128 115124256