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116828316 = 22321123101127
BaseRepresentation
bin1101111011010…
…10100010011100
322010211111022200
412331222202130
5214402001231
615332011500
72616011223
oct675524234
9263744280
10116828316
115aa45930
1233160b90
131b2863a7
1411731cba
15a3cabe6
hex6f6a89c

116828316 has 144 divisors (see below), whose sum is σ = 342171648. Its totient is φ = 33264000.

The previous prime is 116828303. The next prime is 116828347. The reversal of 116828316 is 613828611.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919845 + ... + 919971.

It is an arithmetic number, because the mean of its divisors is an integer number (2376192).

Almost surely, 2116828316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116828316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171085824).

116828316 is an abundant number, since it is smaller than the sum of its proper divisors (225343332).

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

116828316 is a wasteful number, since it uses less digits than its factorization.

116828316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 267 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 116828316 is about 10808.7148172204. The cubic root of 116828316 is about 488.8579762441.

The spelling of 116828316 in words is "one hundred sixteen million, eight hundred twenty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 101 127 132 138 198 202 207 253 254 276 303 381 396 404 414 506 508 606 759 762 828 909 1012 1111 1143 1212 1397 1518 1524 1818 2222 2277 2286 2323 2794 2921 3036 3333 3636 4191 4444 4554 4572 4646 5588 5842 6666 6969 8382 8763 9108 9292 9999 11684 12573 12827 13332 13938 16764 17526 19998 20907 25146 25553 25654 26289 27876 32131 35052 38481 39996 41814 50292 51106 51308 52578 64262 76659 76962 83628 96393 102212 105156 115443 128524 141097 153318 153924 192786 229977 230886 282194 289179 295021 306636 385572 423291 459954 461772 564388 578358 590042 846582 885063 919908 1156716 1180084 1269873 1693164 1770126 2539746 2655189 3245231 3540252 5079492 5310378 6490462 9735693 10620756 12980924 19471386 29207079 38942772 58414158 116828316