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116085690 = 23357173613
BaseRepresentation
bin1101110101101…
…01001110111010
322002102202122000
412322311032322
5214204220230
615304041430
72606466150
oct672651672
9262382560
10116085690
115a588996
1232a63276
131b086376
14115bb3d0
15a2d0b60
hex6eb53ba

116085690 has 128 divisors (see below), whose sum is σ = 374699520. Its totient is φ = 24966144.

The previous prime is 116085689. The next prime is 116085713. The reversal of 116085690 is 96580611.

It is a super-2 number, since 2×1160856902 = 26951774845552200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30324 + ... + 33936.

It is an arithmetic number, because the mean of its divisors is an integer number (2927340).

Almost surely, 2116085690 is an apocalyptic number.

116085690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116085690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187349760).

116085690 is an abundant number, since it is smaller than the sum of its proper divisors (258613830).

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

116085690 is a wasteful number, since it uses less digits than its factorization.

116085690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 116085690 is about 10774.3069382675. The cubic root of 116085690 is about 487.8199556415.

The spelling of 116085690 in words is "one hundred sixteen million, eighty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 85 90 102 105 119 126 135 153 170 189 210 238 255 270 306 315 357 378 459 510 595 630 714 765 918 945 1071 1190 1530 1785 1890 2142 2295 3213 3570 3613 4590 5355 6426 7226 10710 10839 16065 18065 21678 25291 32130 32517 36130 50582 54195 61421 65034 75873 97551 108390 122842 126455 151746 162585 184263 195102 227619 252910 307105 325170 368526 379365 429947 455238 487755 552789 614210 682857 758730 859894 921315 975510 1105578 1138095 1289841 1365714 1658367 1842630 2149735 2276190 2579682 2763945 3316734 3414285 3869523 4299470 5527890 6449205 6828570 7739046 8291835 11608569 12898410 16583670 19347615 23217138 38695230 58042845 116085690