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107787114 = 23219417687
BaseRepresentation
bin1100110110010…
…11001101101010
321111211011010100
412123023031222
5210043141424
614410130230
72446114101
oct633131552
9244734110
10107787114
1155930066
1230120976
131943c076
141045b038
1596e1dc9
hex66cb36a

107787114 has 48 divisors (see below), whose sum is σ = 251858880. Its totient is φ = 33203520.

The previous prime is 107787109. The next prime is 107787139. The reversal of 107787114 is 411787701.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10179 + ... + 17865.

It is an arithmetic number, because the mean of its divisors is an integer number (5247060).

Almost surely, 2107787114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107787114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125929440).

107787114 is an abundant number, since it is smaller than the sum of its proper divisors (144071766).

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

107787114 is a wasteful number, since it uses less digits than its factorization.

107787114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7755 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 36.

The square root of 107787114 is about 10382.0573105719. The cubic root of 107787114 is about 475.9072065662.

The spelling of 107787114 in words is "one hundred seven million, seven hundred eighty-seven thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 738 779 1558 2337 4674 7011 7687 14022 15374 23061 46122 69183 138366 146053 292106 315167 438159 630334 876318 945501 1314477 1891002 2628954 2836503 5673006 5988173 11976346 17964519 35929038 53893557 107787114