Search a number
-
+
116469864 = 23327233013
BaseRepresentation
bin1101111000100…
…11000001101000
322010011021121200
412330103001220
5214304013424
615320204200
72612656200
oct674230150
9263137550
10116469864
115a820595
1233009660
131b18c1a4
141167b400
15a3598c9
hex6f13068

116469864 has 72 divisors (see below), whose sum is σ = 366950610. Its totient is φ = 33276096.

The previous prime is 116469863. The next prime is 116469869. The reversal of 116469864 is 468964611.

It can be written as a sum of positive squares in only one way, i.e., 111133764 + 5336100 = 10542^2 + 2310^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116469863) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12979 + ... + 20034.

Almost surely, 2116469864 is an apocalyptic number.

116469864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

116469864 is an abundant number, since it is smaller than the sum of its proper divisors (250480746).

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

116469864 is a wasteful number, since it uses less digits than its factorization.

116469864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33039 (or 33025 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 116469864 is about 10792.1204589274. The cubic root of 116469864 is about 488.3574935791.

The spelling of 116469864 in words is "one hundred sixteen million, four hundred sixty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 33013 66026 99039 132052 198078 231091 264104 297117 396156 462182 594234 693273 792312 924364 1188468 1386546 1617637 1848728 2079819 2376936 2773092 3235274 4159638 4852911 5546184 6470548 8319276 9705822 12941096 14558733 16638552 19411644 29117466 38823288 58234932 116469864