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116634105 = 3257479773
BaseRepresentation
bin1101111001110…
…11000111111001
322010110121220200
412330323013321
5214324242410
615323512413
72614242060
oct674730771
9263417820
10116634105
115a922a25
1233088709
131b218b83
14116c11d7
15a38d3c0
hex6f3b1f9

116634105 has 48 divisors (see below), whose sum is σ = 231828480. Its totient is φ = 53138304.

The previous prime is 116634083. The next prime is 116634107. The reversal of 116634105 is 501436611.

116634105 is a `hidden beast` number, since 1 + 16 + 634 + 10 + 5 = 666.

It is not a de Polignac number, because 116634105 - 26 = 116634041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116634107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150499 + ... + 151271.

It is an arithmetic number, because the mean of its divisors is an integer number (4829760).

Almost surely, 2116634105 is an apocalyptic number.

116634105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116634105 is a deficient number, since it is larger than the sum of its proper divisors (115194375).

116634105 is a wasteful number, since it uses less digits than its factorization.

116634105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 116634105 is about 10799.7270798849. The cubic root of 116634105 is about 488.5869396283.

The spelling of 116634105 in words is "one hundred sixteen million, six hundred thirty-four thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 479 773 1437 2319 2395 3353 3865 4311 5411 6957 7185 10059 11595 16233 16765 21555 27055 30177 34785 48699 50295 81165 150885 243495 370267 1110801 1851335 2591869 3332403 5554005 7775607 12959345 16662015 23326821 38878035 116634105