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116852760 = 23335257421
BaseRepresentation
bin1101111011100…
…00100000011000
322010212201212000
412331300200120
5214403242020
615332321000
72616142413
oct675604030
9263781760
10116852760
115aa62232
1233173160
131b29455b
141173ab7a
15a3d3090
hex6f70818

116852760 has 128 divisors (see below), whose sum is σ = 391953600. Its totient is φ = 30965760.

The previous prime is 116852753. The next prime is 116852773. The reversal of 116852760 is 67258611.

116852760 is a `hidden beast` number, since 11 + 68 + 527 + 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277350 + ... + 277770.

Almost surely, 2116852760 is an apocalyptic number.

116852760 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 116852760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195976800).

116852760 is an abundant number, since it is smaller than the sum of its proper divisors (275100840).

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

116852760 is a wasteful number, since it uses less digits than its factorization.

116852760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 116852760 is about 10809.8455123096. The cubic root of 116852760 is about 488.8920684672.

The spelling of 116852760 in words is "one hundred sixteen million, eight hundred fifty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 257 270 360 421 514 540 771 842 1028 1080 1263 1285 1542 1684 2056 2105 2313 2526 2570 3084 3368 3789 3855 4210 4626 5052 5140 6168 6315 6939 7578 7710 8420 9252 10104 10280 11367 11565 12630 13878 15156 15420 16840 18504 18945 22734 23130 25260 27756 30312 30840 34695 37890 45468 46260 50520 55512 56835 69390 75780 90936 92520 108197 113670 138780 151560 216394 227340 277560 324591 432788 454680 540985 649182 865576 973773 1081970 1298364 1622955 1947546 2163940 2596728 2921319 3245910 3895092 4327880 4868865 5842638 6491820 7790184 9737730 11685276 12983640 14606595 19475460 23370552 29213190 38950920 58426380 116852760