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116450208 = 25327471229
BaseRepresentation
bin1101111000011…
…10001110100000
322010010021122200
412330032032200
5214302401313
615315533200
72612544660
oct674161640
9263107580
10116450208
115a807846
1232bba200
131b183264
14116741a0
15a353b73
hex6f0e3a0

116450208 has 144 divisors (see below), whose sum is σ = 386830080. Its totient is φ = 32537088.

The previous prime is 116450207. The next prime is 116450231. The reversal of 116450208 is 802054611.

116450208 is a `hidden beast` number, since 1 + 1 + 6 + 450 + 208 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (116450203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 94138 + ... + 95366.

It is an arithmetic number, because the mean of its divisors is an integer number (2686320).

Almost surely, 2116450208 is an apocalyptic number.

116450208 is a gapful number since it is divisible by the number (18) 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 116450208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193415040).

116450208 is an abundant number, since it is smaller than the sum of its proper divisors (270379872).

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

116450208 is a wasteful number, since it uses less digits than its factorization.

116450208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 116450208 is about 10791.2097560932. The cubic root of 116450208 is about 488.3300195338.

The spelling of 116450208 in words is "one hundred sixteen million, four hundred fifty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 252 282 288 329 336 376 423 504 564 658 672 752 846 987 1008 1128 1229 1316 1504 1692 1974 2016 2256 2458 2632 2961 3384 3687 3948 4512 4916 5264 5922 6768 7374 7896 8603 9832 10528 11061 11844 13536 14748 15792 17206 19664 22122 23688 25809 29496 31584 34412 39328 44244 47376 51618 57763 58992 68824 77427 88488 94752 103236 115526 117984 137648 154854 173289 176976 206472 231052 275296 309708 346578 353952 404341 412944 462104 519867 619416 693156 808682 825888 924208 1039734 1213023 1238832 1386312 1617364 1848416 2079468 2426046 2477664 2772624 3234728 3639069 4158936 4852092 5545248 6469456 7278138 8317872 9704184 12938912 14556276 16635744 19408368 29112552 38816736 58225104 116450208