Search a number
-
+
116011818 = 23313592801
BaseRepresentation
bin1101110101000…
…11001100101010
322002022000022000
412322203030222
5214144334233
615302311430
72606040606
oct672431452
9262260260
10116011818
115a53843a
1232a28576
131b05b860
141159c506
15a2b8d13
hex6ea332a

116011818 has 64 divisors (see below), whose sum is σ = 282441600. Its totient is φ = 35078400.

The previous prime is 116011811. The next prime is 116011829. The reversal of 116011818 is 818110611.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 116011791 and 116011800.

It is not an unprimeable number, because it can be changed into a prime (116011811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40018 + ... + 42818.

It is an arithmetic number, because the mean of its divisors is an integer number (4413150).

Almost surely, 2116011818 is an apocalyptic number.

116011818 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116011818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141220800).

116011818 is an abundant number, since it is smaller than the sum of its proper divisors (166429782).

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

116011818 is a wasteful number, since it uses less digits than its factorization.

116011818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 27.

The square root of 116011818 is about 10770.8782371727. The cubic root of 116011818 is about 487.7164577213.

The spelling of 116011818 in words is "one hundred sixteen million, eleven thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 117 118 177 234 351 354 531 702 767 1062 1534 1593 2301 2801 3186 4602 5602 6903 8403 13806 16806 20709 25209 36413 41418 50418 72826 75627 109239 151254 165259 218478 327717 330518 495777 655434 983151 991554 1487331 1966302 2148367 2974662 4296734 4461993 6445101 8923986 12890202 19335303 38670606 58005909 116011818