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107758053 = 33131718059
BaseRepresentation
bin1100110110001…
…00000111100101
321111202200021000
412123010013211
5210041224203
614405343513
72445633264
oct633040745
9244680230
10107758053
1155910247
1230107b99
131942ba80
14104505db
1596d84a3
hex66c41e5

107758053 has 32 divisors (see below), whose sum is σ = 182044800. Its totient is φ = 62408448.

The previous prime is 107758039. The next prime is 107758061. The reversal of 107758053 is 350857701.

107758053 is a `hidden beast` number, since 1 + 0 + 77 + 580 + 5 + 3 = 666.

It is not a de Polignac number, because 107758053 - 26 = 107757989 is a prime.

It is a super-2 number, since 2×1077580532 = 23223595972701618, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107757999 and 107758017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107758093) 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 31 ways as a sum of consecutive naturals, for example, 3063 + ... + 14996.

It is an arithmetic number, because the mean of its divisors is an integer number (5688900).

Almost surely, 2107758053 is an apocalyptic number.

107758053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

107758053 is a deficient number, since it is larger than the sum of its proper divisors (74286747).

107758053 is a wasteful number, since it uses less digits than its factorization.

107758053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18098 (or 18092 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 107758053 is about 10380.6576381268. The cubic root of 107758053 is about 475.8644321814.

The spelling of 107758053 in words is "one hundred seven million, seven hundred fifty-eight thousand, fifty-three".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 459 663 1989 5967 18059 54177 162531 234767 307003 487593 704301 921009 2112903 2763027 3991039 6338709 8289081 11973117 35919351 107758053