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116979660 = 22335724421
BaseRepresentation
bin1101111100011…
…11011111001100
322011010011221000
412332033133030
5214421322120
615335140300
72620211400
oct676173714
9264104830
10116979660
1160039606
1233214690
131b30a245
1411771100
15a40a990
hex6f8f7cc

116979660 has 144 divisors (see below), whose sum is σ = 423450720. Its totient is φ = 26732160.

The previous prime is 116979641. The next prime is 116979677. The reversal of 116979660 is 66979611.

It is a super-3 number, since 3×1169796603 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 14.

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, 24250 + ... + 28670.

It is an arithmetic number, because the mean of its divisors is an integer number (2940630).

Almost surely, 2116979660 is an apocalyptic number.

116979660 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 116979660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211725360).

116979660 is an abundant number, since it is smaller than the sum of its proper divisors (306471060).

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

116979660 is a wasteful number, since it uses less digits than its factorization.

116979660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 116979660 is about 10815.7135686925. The cubic root of 116979660 is about 489.0689804454.

The spelling of 116979660 in words is "one hundred sixteen million, nine hundred seventy-nine thousand, six 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 4410 4421 5292 6615 8820 8842 13230 13263 17684 22105 26460 26526 30947 39789 44210 53052 61894 66315 79578 88420 92841 119367 123788 132630 154735 159156 185682 198945 216629 238734 265260 278523 309470 371364 397890 433258 464205 477468 557046 596835 618940 649887 795780 835569 866516 928410 1083145 1114092 1193670 1299774 1392615 1671138 1856820 1949661 2166290 2387340 2599548 2785230 3249435 3342276 3899322 4177845 4332580 5570460 5848983 6498870 7798644 8355690 9748305 11697966 12997740 16711380 19496610 23395932 29244915 38993220 58489830 116979660