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116016705 = 36574547
BaseRepresentation
bin1101110101001…
…00011001000001
322002022021000000
412322210121001
5214200013310
615302350213
72606061060
oct672443101
9262267000
10116016705
115a541082
1232a2b369
131b060b4c
14115a01d7
15a2ba4c0
hex6ea4641

116016705 has 56 divisors (see below), whose sum is σ = 238606272. Its totient is φ = 53024544.

The previous prime is 116016701. The next prime is 116016707. The reversal of 116016705 is 507610611.

It is not a de Polignac number, because 116016705 - 22 = 116016701 is a prime.

It is a super-3 number, since 3×1160167053 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (116016701) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23242 + ... + 27788.

Almost surely, 2116016705 is an apocalyptic number.

116016705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116016705 is an abundant number, since it is smaller than the sum of its proper divisors (122589567).

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

116016705 is an frugal number, since it uses more digits than its factorization.

116016705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 116016705 is about 10771.1050965070. The cubic root of 116016705 is about 487.7233059801.

The spelling of 116016705 in words is "one hundred sixteen million, sixteen thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 729 945 1215 1701 2835 3645 4547 5103 8505 13641 22735 25515 31829 40923 68205 95487 122769 159145 204615 286461 368307 477435 613845 859383 1104921 1432305 1841535 2578149 3314763 4296915 5524605 7734447 12890745 16573815 23203341 38672235 116016705