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116080776 = 23347157163
BaseRepresentation
bin1101110101101…
…00000010001000
322002102111220000
412322310002020
5214204041101
615304003000
72606445630
oct672640210
9262374800
10116080776
115a585229
1232a60460
131b084066
14115b96c0
15a2ce486
hex6eb4088

116080776 has 160 divisors (see below), whose sum is σ = 376242240. Its totient is φ = 32752512.

The previous prime is 116080753. The next prime is 116080807. The reversal of 116080776 is 677080611.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 116080776.

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 39 ways as a sum of consecutive naturals, for example, 712071 + ... + 712233.

It is an arithmetic number, because the mean of its divisors is an integer number (2351514).

Almost surely, 2116080776 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 116080776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188121120).

116080776 is an abundant number, since it is smaller than the sum of its proper divisors (260161464).

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

116080776 is a wasteful number, since it uses less digits than its factorization.

116080776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 116080776 is about 10774.0788933440. The cubic root of 116080776 is about 487.8130722749.

The spelling of 116080776 in words is "one hundred sixteen million, eighty thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 157 162 163 168 189 216 252 314 324 326 378 471 489 504 567 628 648 652 756 942 978 1099 1134 1141 1256 1304 1413 1467 1512 1884 1956 2198 2268 2282 2826 2934 3297 3423 3768 3912 4239 4396 4401 4536 4564 5652 5868 6594 6846 8478 8792 8802 9128 9891 10269 11304 11736 12717 13188 13203 13692 16956 17604 19782 20538 25434 25591 26376 26406 27384 29673 30807 33912 35208 39564 41076 50868 51182 52812 59346 61614 76773 79128 82152 89019 92421 101736 102364 105624 118692 123228 153546 178038 179137 184842 204728 230319 237384 246456 307092 356076 358274 369684 460638 537411 614184 690957 712152 716548 739368 921276 1074822 1381914 1433096 1612233 1842552 2072871 2149644 2763828 3224466 4145742 4299288 4836699 5527656 6448932 8291484 9673398 12897864 14510097 16582968 19346796 29020194 38693592 58040388 116080776