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116116 = 227111329
BaseRepresentation
bin11100010110010100
312220021121
4130112110
512203431
62253324
7662350
oct342624
9186247
10116116
117a270
1257244
1340b10
1430460
1524611
hex1c594

116116 has 48 divisors (see below), whose sum is σ = 282240. Its totient is φ = 40320.

The previous prime is 116113. The next prime is 116131. The reversal of 116116 is 611611.

It is a self number, because there is not a number n which added to its sum of digits gives 116116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3990 + ... + 4018.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2116116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).

116116 is an abundant number, since it is smaller than the sum of its proper divisors (166124).

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

116116 is a wasteful number, since it uses less digits than its factorization.

116116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 62 counting only the distinct ones).

The product of its digits is 36, while the sum is 16.

The square root of 116116 is about 340.7579786300. The cubic root of 116116 is about 48.7862408581.

Adding to 116116 its reverse (611611), we get a palindrome (727727).

It can be divided in two parts, 116 and 116, that added together give a palindrome (232).

The spelling of 116116 in words is "one hundred sixteen thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 13 14 22 26 28 29 44 52 58 77 91 116 143 154 182 203 286 308 319 364 377 406 572 638 754 812 1001 1276 1508 2002 2233 2639 4004 4147 4466 5278 8294 8932 10556 16588 29029 58058 116116