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116192160 = 25325711527
BaseRepresentation
bin1101110110011…
…11001110100000
322002122011200100
412323033032200
5214221122120
615310222400
72610421440
oct673171640
9262564610
10116192160
115a650987
1232ab4a00
131b0c2976
1411608120
15a302490
hex6ecf3a0

116192160 has 144 divisors (see below), whose sum is σ = 453188736. Its totient is φ = 26555904.

The previous prime is 116192119. The next prime is 116192171. The reversal of 116192160 is 61291611.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4317 + ... + 15843.

It is an arithmetic number, because the mean of its divisors is an integer number (3147144).

Almost surely, 2116192160 is an apocalyptic number.

116192160 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 116192160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226594368).

116192160 is an abundant number, since it is smaller than the sum of its proper divisors (336996576).

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

116192160 is a wasteful number, since it uses less digits than its factorization.

116192160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11555 (or 11544 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 116192160 is about 10779.2467269286. The cubic root of 116192160 is about 487.9690475755.

The spelling of 116192160 in words is "one hundred sixteen million, one hundred ninety-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 11527 23054 34581 46108 57635 69162 80689 92216 103743 115270 138324 161378 172905 184432 207486 230540 242067 276648 322756 345810 368864 403445 414972 461080 484134 518715 553296 645512 691620 726201 806890 829944 922160 968268 1037430 1106592 1210335 1291024 1383240 1452402 1613780 1659888 1844320 1936536 2074860 2420670 2582048 2766480 2904804 3227560 3319776 3631005 3873072 4149720 4841340 5532960 5809608 6455120 7262010 7746144 8299440 9682680 11619216 12910240 14524020 16598880 19365360 23238432 29048040 38730720 58096080 116192160