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116302080 = 283531977
BaseRepresentation
bin1101110111010…
…10000100000000
322002211202110110
412323222010000
5214233131310
615312431320
72611360056
oct673520400
9262752413
10116302080
115a716524
1232b48540
131b1309cb
14116361d6
15a324d20
hex6eea100

116302080 has 144 divisors (see below), whose sum is σ = 383814144. Its totient is φ = 29982720.

The previous prime is 116302079. The next prime is 116302091. The reversal of 116302080 is 80203611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118552 + ... + 119528.

It is an arithmetic number, because the mean of its divisors is an integer number (2665376).

Almost surely, 2116302080 is an apocalyptic number.

116302080 is a gapful number since it is divisible by the number (10) 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 116302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191907072).

116302080 is an abundant number, since it is smaller than the sum of its proper divisors (267512064).

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

116302080 is an equidigital number, since it uses as much as digits as its factorization.

116302080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 116302080 is about 10784.3442081566. The cubic root of 116302080 is about 488.1228750871.

Adding to 116302080 its reverse (80203611), we get a palindrome (196505691).

The spelling of 116302080 in words is "one hundred sixteen million, three hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 977 992 1240 1280 1488 1860 1920 1954 1984 2480 2931 2976 3720 3840 3908 3968 4885 4960 5862 5952 7440 7816 7936 9770 9920 11724 11904 14655 14880 15632 19540 19840 23448 23808 29310 29760 30287 31264 39080 39680 46896 58620 59520 60574 62528 78160 90861 93792 117240 119040 121148 125056 151435 156320 181722 187584 234480 242296 250112 302870 312640 363444 375168 454305 468960 484592 605740 625280 726888 750336 908610 937920 969184 1211480 1250560 1453776 1817220 1875840 1938368 2422960 2907552 3634440 3751680 3876736 4845920 5815104 7268880 7753472 9691840 11630208 14537760 19383680 23260416 29075520 38767360 58151040 116302080