Search a number
-
+
115987248 = 243313191087
BaseRepresentation
bin1101110100111…
…01001100110000
322002020202121000
412322131030300
5214143042443
615302002000
72605606146
oct672351460
9262222530
10115987248
115a520a33
1232a16300
131b050610
1411593596
15a2b18d3
hex6e9d330

115987248 has 160 divisors (see below), whose sum is σ = 377753600. Its totient is φ = 33778944.

The previous prime is 115987241. The next prime is 115987259. The reversal of 115987248 is 842789511.

115987248 is a `hidden beast` number, since 11 + 598 + 7 + 2 + 48 = 666.

It is a super-2 number, since 2×1159872482 = 26906083397227008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115987241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106161 + ... + 107247.

It is an arithmetic number, because the mean of its divisors is an integer number (2360960).

Almost surely, 2115987248 is an apocalyptic number.

115987248 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 115987248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188876800).

115987248 is an abundant number, since it is smaller than the sum of its proper divisors (261766352).

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

115987248 is a wasteful number, since it uses less digits than its factorization.

115987248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1124 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 115987248 is about 10769.7376012603. The cubic root of 115987248 is about 487.6820243344.

The spelling of 115987248 in words is "one hundred fifteen million, nine hundred eighty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 208 216 228 234 247 304 312 342 351 432 456 468 494 513 624 684 702 741 912 936 988 1026 1087 1368 1404 1482 1872 1976 2052 2174 2223 2736 2808 2964 3261 3952 4104 4348 4446 5616 5928 6522 6669 8208 8696 8892 9783 11856 13044 13338 14131 17392 17784 19566 20653 26088 26676 28262 29349 35568 39132 41306 42393 52176 53352 56524 58698 61959 78264 82612 84786 106704 113048 117396 123918 127179 156528 165224 169572 185877 226096 234792 247836 254358 268489 330448 339144 371754 381537 469584 495672 508716 536978 557631 678288 743508 763074 805467 991344 1017432 1073956 1115262 1487016 1526148 1610934 2034864 2147912 2230524 2416401 2974032 3052296 3221868 4295824 4461048 4832802 6104592 6443736 7249203 8922096 9665604 12887472 14498406 19331208 28996812 38662416 57993624 115987248