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116018280 = 23325726577
BaseRepresentation
bin1101110101001…
…00110001101000
322002022100011100
412322210301220
5214200041110
615302401400
72606065500
oct672446150
9262270140
10116018280
115a542284
1232a30260
131b061791
14115a0a00
15a2babc0
hex6ea4c68

116018280 has 144 divisors (see below), whose sum is σ = 438686820. Its totient is φ = 26514432.

The previous prime is 116018269. The next prime is 116018291. The reversal of 116018280 is 82810611.

It is an interprime number because it is at equal distance from previous prime (116018269) and next prime (116018291).

It can be written as a sum of positive squares in 2 ways, for example, as 107619876 + 8398404 = 10374^2 + 2898^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 14352 + ... + 20928.

Almost surely, 2116018280 is an apocalyptic number.

116018280 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 116018280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219343410).

116018280 is an abundant number, since it is smaller than the sum of its proper divisors (322668540).

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

116018280 is a wasteful number, since it uses less digits than its factorization.

116018280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6608 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 116018280 is about 10771.1782085341. The cubic root of 116018280 is about 487.7255130207.

Adding to 116018280 its reverse (82810611), we get a palindrome (198828891).

It can be divided in two parts, 11601 and 8280, that added together give a square (19881 = 1412).

The spelling of 116018280 in words is "one hundred sixteen million, eighteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 6577 8820 13154 17640 19731 26308 32885 39462 46039 52616 59193 65770 78924 92078 98655 118386 131540 138117 157848 184156 197310 230195 236772 263080 276234 295965 322273 368312 394620 414351 460390 473544 552468 591930 644546 690585 789240 828702 920780 966819 1104936 1183860 1289092 1381170 1611365 1657404 1841560 1933638 2071755 2367720 2578184 2762340 2900457 3222730 3314808 3867276 4143510 4834095 5524680 5800914 6445460 7734552 8287020 9668190 11601828 12890920 14502285 16574040 19336380 23203656 29004570 38672760 58009140 116018280