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116042176 = 2623312543
BaseRepresentation
bin1101110101010…
…10100111000000
322002100112221101
412322222213000
5214201322201
615303104144
72606225245
oct672524700
9262315841
10116042176
115a559228
1232a42054
131b06c613
14115a95cc
15a2c2d01
hex6eaa9c0

116042176 has 56 divisors (see below), whose sum is σ = 248131584. Its totient is φ = 53687040.

The previous prime is 116042161. The next prime is 116042209. The reversal of 116042176 is 671240611.

It is a super-2 number, since 2×1160421762 = 26931573221629952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44361 + ... + 46903.

Almost surely, 2116042176 is an apocalyptic number.

116042176 is a gapful number since it is divisible by the number (16) 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 116042176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124065792).

116042176 is an abundant number, since it is smaller than the sum of its proper divisors (132089408).

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

116042176 is a wasteful number, since it uses less digits than its factorization.

116042176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 116042176 is about 10772.2874079742. The cubic root of 116042176 is about 487.7589959304.

Adding to 116042176 its reverse (671240611), we get a palindrome (787282787).

The spelling of 116042176 in words is "one hundred sixteen million, forty-two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 184 248 368 496 713 736 992 1426 1472 1984 2543 2852 5086 5704 10172 11408 20344 22816 40688 45632 58489 78833 81376 116978 157666 162752 233956 315332 467912 630664 935824 1261328 1813159 1871648 2522656 3626318 3743296 5045312 7252636 14505272 29010544 58021088 116042176