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116159904 = 25327157367
BaseRepresentation
bin1101110110001…
…11010110100000
322002120112102200
412323013112200
5214214104104
615305413200
72610225420
oct673072640
9262515380
10116159904
115a629723
1232a9a200
131b0b1093
14115da480
15a2e7b39
hex6ec75a0

116159904 has 144 divisors (see below), whose sum is σ = 380959488. Its totient is φ = 32887296.

The previous prime is 116159893. The next prime is 116159917. The reversal of 116159904 is 409951611.

116159904 is a `hidden beast` number, since 1 + 1 + 61 + 599 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316329 + ... + 316695.

It is an arithmetic number, because the mean of its divisors is an integer number (2645552).

Almost surely, 2116159904 is an apocalyptic number.

116159904 is a gapful number since it is divisible by the number (14) 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 116159904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190479744).

116159904 is an abundant number, since it is smaller than the sum of its proper divisors (264799584).

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

116159904 is a wasteful number, since it uses less digits than its factorization.

116159904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 116159904 is about 10777.7504146273. The cubic root of 116159904 is about 487.9238885150.

The spelling of 116159904 in words is "one hundred sixteen million, one hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 157 168 224 252 288 314 336 367 471 504 628 672 734 942 1008 1099 1101 1256 1413 1468 1884 2016 2198 2202 2512 2569 2826 2936 3297 3303 3768 4396 4404 5024 5138 5652 5872 6594 6606 7536 7707 8792 8808 9891 10276 11304 11744 13188 13212 15072 15414 17584 17616 19782 20552 22608 23121 26376 26424 30828 35168 35232 39564 41104 45216 46242 52752 52848 57619 61656 79128 82208 92484 105504 105696 115238 123312 158256 172857 184968 230476 246624 316512 345714 369936 403333 460952 518571 691428 739872 806666 921904 1037142 1209999 1382856 1613332 1843808 2074284 2419998 2765712 3226664 3629997 4148568 4839996 5531424 6453328 7259994 8297136 9679992 12906656 14519988 16594272 19359984 29039976 38719968 58079952 116159904