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116982117 = 33717231583
BaseRepresentation
bin1101111100100…
…00000101100101
322011010022022000
412332100011211
5214421411432
615335155513
72620221510
oct676200545
9264108260
10116982117
116004043a
1233215b99
131b30b3b5
1411771d77
15a40b57c
hex6f90165

116982117 has 64 divisors (see below), whose sum is σ = 218972160. Its totient is φ = 60141312.

The previous prime is 116982101. The next prime is 116982119. The reversal of 116982117 is 711289611.

It is not a de Polignac number, because 116982117 - 24 = 116982101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116982119) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 73108 + ... + 74690.

It is an arithmetic number, because the mean of its divisors is an integer number (3421440).

Almost surely, 2116982117 is an apocalyptic number.

116982117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

116982117 is a deficient number, since it is larger than the sum of its proper divisors (101990043).

116982117 is a wasteful number, since it uses less digits than its factorization.

116982117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1633 counting only the distinct ones).

The product of its digits is 6048, while the sum is 36.

The square root of 116982117 is about 10815.8271528349. The cubic root of 116982117 is about 489.0724044995.

The spelling of 116982117 in words is "one hundred sixteen million, nine hundred eighty-two thousand, one hundred seventeen".

Divisors: 1 3 7 9 17 21 23 27 51 63 69 119 153 161 189 207 357 391 459 483 621 1071 1173 1449 1583 2737 3213 3519 4347 4749 8211 10557 11081 14247 24633 26911 33243 36409 42741 73899 80733 99729 109227 188377 242199 254863 299187 327681 565131 618953 726597 764589 983043 1695393 1856859 2293767 4332671 5086179 5570577 6881301 12998013 16711731 38994039 116982117