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118116096 = 2837127173
BaseRepresentation
bin1110000101001…
…00111100000000
322020020220211020
413002210330000
5220214203341
615415345440
72632653540
oct702447400
9266226736
10118116096
116074540a
1233682280
131b6175a7
1411989320
15a582566
hex70a4f00

118116096 has 144 divisors (see below), whose sum is σ = 364191744. Its totient is φ = 33288192.

The previous prime is 118116077. The next prime is 118116113. The reversal of 118116096 is 690611811.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 682666 + ... + 682838.

Almost surely, 2118116096 is an apocalyptic number.

118116096 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 118116096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182095872).

118116096 is an abundant number, since it is smaller than the sum of its proper divisors (246075648).

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

118116096 is a wasteful number, since it uses less digits than its factorization.

118116096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 118116096 is about 10868.1229290066. The cubic root of 118116096 is about 490.6476179330.

The spelling of 118116096 in words is "one hundred eighteen million, one hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 128 168 173 192 224 254 256 336 346 381 384 448 508 519 672 692 762 768 889 896 1016 1038 1211 1344 1384 1524 1778 1792 2032 2076 2422 2667 2688 2768 3048 3556 3633 4064 4152 4844 5334 5376 5536 6096 7112 7266 8128 8304 9688 10668 11072 12192 14224 14532 16256 16608 19376 21336 21971 22144 24384 28448 29064 32512 33216 38752 42672 43942 44288 48768 56896 58128 65913 66432 77504 85344 87884 97536 113792 116256 131826 132864 153797 155008 170688 175768 227584 232512 263652 307594 310016 341376 351536 461391 465024 527304 615188 682752 703072 922782 930048 1054608 1230376 1406144 1845564 2109216 2460752 2812288 3691128 4218432 4921504 5624576 7382256 8436864 9843008 14764512 16873728 19686016 29529024 39372032 59058048 118116096