Search a number
-
+
115923960 = 2334537967
BaseRepresentation
bin1101110100011…
…01101111111000
322002010112210000
412322031233320
5214134031320
615300353000
72605223505
oct672155770
9262115700
10115923960
115a488429
12329a5760
131b02a879
14115784ac
15a29cc90
hex6e8dbf8

115923960 has 160 divisors (see below), whose sum is σ = 400577760. Its totient is φ = 30046464.

The previous prime is 115923953. The next prime is 115923961. The reversal of 115923960 is 69329511.

115923960 is a `hidden beast` number, since 1 + 1 + 592 + 3 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115923961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119397 + ... + 120363.

It is an arithmetic number, because the mean of its divisors is an integer number (2503611).

Almost surely, 2115923960 is an apocalyptic number.

115923960 is a gapful number since it is divisible by the number (10) 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 115923960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200288880).

115923960 is an abundant number, since it is smaller than the sum of its proper divisors (284653800).

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

115923960 is a wasteful number, since it uses less digits than its factorization.

115923960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 115923960 is about 10766.7989671954. The cubic root of 115923960 is about 487.5933075836.

The spelling of 115923960 in words is "one hundred fifteen million, nine hundred twenty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 81 90 108 111 120 135 148 162 180 185 216 222 270 296 324 333 360 370 405 444 540 555 648 666 740 810 888 967 999 1080 1110 1332 1480 1620 1665 1934 1998 2220 2664 2901 2997 3240 3330 3868 3996 4440 4835 4995 5802 5994 6660 7736 7992 8703 9670 9990 11604 11988 13320 14505 14985 17406 19340 19980 23208 23976 26109 29010 29970 34812 35779 38680 39960 43515 52218 58020 59940 69624 71558 78327 87030 104436 107337 116040 119880 130545 143116 156654 174060 178895 208872 214674 261090 286232 313308 322011 348120 357790 391635 429348 522180 536685 626616 644022 715580 783270 858696 966033 1044360 1073370 1288044 1431160 1566540 1610055 1932066 2146740 2576088 2898099 3133080 3220110 3864132 4293480 4830165 5796198 6440220 7728264 9660330 11592396 12880440 14490495 19320660 23184792 28980990 38641320 57961980 115923960