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116388096 = 2831123599
BaseRepresentation
bin1101110111111…
…11000100000000
322010000010110020
412323333010000
5214243404341
615314333440
72612165616
oct673770400
9263003406
10116388096
115a775110
1232b8a280
131b160bc6
14116596b6
15a340566
hex6eff100

116388096 has 144 divisors (see below), whose sum is σ = 353203200. Its totient is φ = 33679360.

The previous prime is 116388089. The next prime is 116388109. The reversal of 116388096 is 690883611.

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, 194005 + ... + 194603.

It is an arithmetic number, because the mean of its divisors is an integer number (2452800).

Almost surely, 2116388096 is an apocalyptic number.

116388096 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 116388096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176601600).

116388096 is an abundant number, since it is smaller than the sum of its proper divisors (236815104).

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

116388096 is a wasteful number, since it uses less digits than its factorization.

116388096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 116388096 is about 10788.3314743291. The cubic root of 116388096 is about 488.2431825673.

The spelling of 116388096 in words is "one hundred sixteen million, three hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 256 264 276 352 368 384 506 528 552 599 704 736 759 768 1012 1056 1104 1198 1408 1472 1518 1797 2024 2112 2208 2396 2816 2944 3036 3594 4048 4224 4416 4792 5888 6072 6589 7188 8096 8448 8832 9584 12144 13178 13777 14376 16192 17664 19168 19767 24288 26356 27554 28752 32384 38336 39534 41331 48576 52712 55108 57504 64768 76672 79068 82662 97152 105424 110216 115008 151547 153344 158136 165324 194304 210848 220432 230016 303094 316272 330648 421696 440864 454641 460032 606188 632544 661296 843392 881728 909282 1212376 1265088 1322592 1686784 1763456 1818564 2424752 2530176 2645184 3526912 3637128 4849504 5060352 5290368 7274256 9699008 10580736 14548512 19398016 29097024 38796032 58194048 116388096