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116676288 = 263471317
BaseRepresentation
bin1101111010001…
…01011011000000
322010112202210000
412331011123000
5214332120123
615324440000
72614506051
oct675053300
9263482700
10116676288
115a951693
12330a9000
131b232131
14116d2728
15a39ab43
hex6f456c0

116676288 has 140 divisors (see below), whose sum is σ = 351842832. Its totient is φ = 38223360.

The previous prime is 116676269. The next prime is 116676289. The reversal of 116676288 is 882676611.

It is a happy number.

116676288 is a `hidden beast` number, since 1 + 16 + 6 + 7 + 628 + 8 = 666.

It is a super-2 number, since 2×1166762882 = 27226712362917888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116676289) 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 19 ways as a sum of consecutive naturals, for example, 367906 + ... + 368222.

Almost surely, 2116676288 is an apocalyptic number.

116676288 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 116676288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175921416).

116676288 is an abundant number, since it is smaller than the sum of its proper divisors (235166544).

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

116676288 is an equidigital number, since it uses as much as digits as its factorization.

116676288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 393 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 116676288 is about 10801.6798693537. The cubic root of 116676288 is about 488.6458348623.

It can be divided in two parts, 116676 and 288, that added together give a square (116964 = 3422).

The spelling of 116676288 in words is "one hundred sixteen million, six hundred seventy-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 108 142 144 162 192 213 216 284 288 317 324 426 432 568 576 634 639 648 852 864 951 1136 1268 1278 1296 1704 1728 1902 1917 2272 2536 2556 2592 2853 3408 3804 3834 4544 5072 5112 5184 5706 5751 6816 7608 7668 8559 10144 10224 11412 11502 13632 15216 15336 17118 20288 20448 22507 22824 23004 25677 30432 30672 34236 40896 45014 45648 46008 51354 60864 61344 67521 68472 90028 91296 92016 102708 122688 135042 136944 180056 182592 184032 202563 205416 270084 273888 360112 368064 405126 410832 540168 547776 607689 720224 810252 821664 1080336 1215378 1440448 1620504 1643328 1823067 2160672 2430756 3241008 3646134 4321344 4861512 6482016 7292268 9723024 12964032 14584536 19446048 29169072 38892096 58338144 116676288