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116776368 = 24324791693
BaseRepresentation
bin1101111010111…
…01110110110000
322010201212001200
412331131312300
5214343320433
615330531200
72615403612
oct675356660
9263655050
10116776368
115aa0a8a5
1233136b00
131b268857
141171adb2
15a3ba613
hex6f5ddb0

116776368 has 60 divisors (see below), whose sum is σ = 327687360. Its totient is φ = 38821248.

The previous prime is 116776367. The next prime is 116776391. The reversal of 116776368 is 863677611.

116776368 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 7 + 636 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (116776367) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 68130 + ... + 69822.

It is an arithmetic number, because the mean of its divisors is an integer number (5461456).

Almost surely, 2116776368 is an apocalyptic number.

116776368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

116776368 is an abundant number, since it is smaller than the sum of its proper divisors (210910992).

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

116776368 is a wasteful number, since it uses less digits than its factorization.

116776368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2177 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 116776368 is about 10806.3114891252. The cubic root of 116776368 is about 488.7855081988.

The spelling of 116776368 in words is "one hundred sixteen million, seven hundred seventy-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 479 958 1437 1693 1916 2874 3386 3832 4311 5079 5748 6772 7664 8622 10158 11496 13544 15237 17244 20316 22992 27088 30474 34488 40632 60948 68976 81264 121896 243792 810947 1621894 2432841 3243788 4865682 6487576 7298523 9731364 12975152 14597046 19462728 29194092 38925456 58388184 116776368