Search a number
-
+
116185860 = 22335724391
BaseRepresentation
bin1101110110011…
…01101100000100
322002121212001000
412323031230010
5214220421420
615310133300
72610364200
oct673155404
9262555030
10116185860
115a64717a
1232ab1230
131b0bcb3b
1411605b00
15a300690
hex6ecdb04

116185860 has 144 divisors (see below), whose sum is σ = 420577920. Its totient is φ = 26550720.

The previous prime is 116185847. The next prime is 116185967. The reversal of 116185860 is 68581611.

116185860 is a `hidden beast` number, since 11 + 61 + 8 + 586 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24265 + ... + 28655.

It is an arithmetic number, because the mean of its divisors is an integer number (2920680).

Almost surely, 2116185860 is an apocalyptic number.

116185860 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 116185860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210288960).

116185860 is an abundant number, since it is smaller than the sum of its proper divisors (304392060).

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

116185860 is a wasteful number, since it uses less digits than its factorization.

116185860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 116185860 is about 10778.9544947550. The cubic root of 116185860 is about 487.9602281033.

The spelling of 116185860 in words is "one hundred sixteen million, one hundred eighty-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 2205 2646 2940 3780 4391 4410 5292 6615 8782 8820 13173 13230 17564 21955 26346 26460 30737 39519 43910 52692 61474 65865 79038 87820 92211 118557 122948 131730 153685 158076 184422 197595 215159 237114 263460 276633 307370 368844 395190 430318 461055 474228 553266 592785 614740 645477 790380 829899 860636 922110 1075795 1106532 1185570 1290954 1383165 1659798 1844220 1936431 2151590 2371140 2581908 2766330 3227385 3319596 3872862 4149495 4303180 5532660 5809293 6454770 7745724 8298990 9682155 11618586 12909540 16597980 19364310 23237172 29046465 38728620 58092930 116185860