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116416560 = 24351337313
BaseRepresentation
bin1101111000001…
…10000000110000
322010001120111110
412330012000300
5214300312220
615315113320
72612344611
oct674060060
9263046443
10116416560
115a794537
1232ba2840
131b170b50
1411665c08
15a348be0
hex6f06030

116416560 has 80 divisors (see below), whose sum is σ = 388662624. Its totient is φ = 28655616.

The previous prime is 116416537. The next prime is 116416583. The reversal of 116416560 is 65614611.

It is an interprime number because it is at equal distance from previous prime (116416537) and next prime (116416583).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1164165603 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15537 + ... + 21776.

Almost surely, 2116416560 is an apocalyptic number.

116416560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116416560 is an abundant number, since it is smaller than the sum of its proper divisors (272246064).

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

116416560 is a wasteful number, since it uses less digits than its factorization.

116416560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37342 (or 37336 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 116416560 is about 10789.6505967524. The cubic root of 116416560 is about 488.2829810853.

The spelling of 116416560 in words is "one hundred sixteen million, four hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 37313 74626 111939 149252 186565 223878 298504 373130 447756 485069 559695 597008 746260 895512 970138 1119390 1455207 1492520 1791024 1940276 2238780 2425345 2910414 2985040 3880552 4477560 4850690 5820828 7276035 7761104 8955120 9701380 11641656 14552070 19402760 23283312 29104140 38805520 58208280 116416560