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115124328 = 23341131521
BaseRepresentation
bin1101101110010…
…10100001101000
322000121220220000
412313022201220
5213432434303
615231303000
72565353304
oct667124150
9260556800
10115124328
1159a91680
123267aa60
131ab0a907
141140ad04
15a190da3
hex6dca868

115124328 has 160 divisors (see below), whose sum is σ = 363813120. Its totient is φ = 33696000.

The previous prime is 115124311. The next prime is 115124341. The reversal of 115124328 is 823421511.

It is a super-2 number, since 2×1151243282 = 26507221794903168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220708 + ... + 221228.

It is an arithmetic number, because the mean of its divisors is an integer number (2273832).

Almost surely, 2115124328 is an apocalyptic number.

115124328 is a gapful number since it is divisible by the number (18) 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 115124328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181906560).

115124328 is an abundant number, since it is smaller than the sum of its proper divisors (248688792).

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

115124328 is a wasteful number, since it uses less digits than its factorization.

115124328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 568 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 115124328 is about 10729.6005517447. The cubic root of 115124328 is about 486.4695964046.

Adding to 115124328 its reverse (823421511), we get a palindrome (938545839).

The spelling of 115124328 in words is "one hundred fifteen million, one hundred twenty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 81 88 93 99 108 124 132 162 186 198 216 248 264 279 297 324 341 372 396 521 558 594 648 682 744 792 837 891 1023 1042 1116 1188 1364 1563 1674 1782 2046 2084 2232 2376 2511 2728 3069 3126 3348 3564 4092 4168 4689 5022 5731 6138 6252 6696 7128 8184 9207 9378 10044 11462 12276 12504 14067 16151 17193 18414 18756 20088 22924 24552 27621 28134 32302 34386 36828 37512 42201 45848 48453 51579 55242 56268 64604 68772 73656 84402 96906 103158 110484 112536 129208 137544 145359 154737 168804 177661 193812 206316 220968 290718 309474 337608 355322 387624 412632 436077 464211 532983 581436 618948 710644 872154 928422 1065966 1162872 1237896 1308231 1421288 1598949 1744308 1856844 2131932 2616462 3197898 3488616 3713688 4263864 4796847 5232924 6395796 9593694 10465848 12791592 14390541 19187388 28781082 38374776 57562164 115124328