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116640757 = 1753129457
BaseRepresentation
bin1101111001111…
…00101111110101
322010110222001001
412330330233311
5214330001012
615324003301
72614300342
oct674745765
9263428031
10116640757
115a927a22
1233090531
131b21bbcc
14116c37c9
15a390357
hex6f3cbf5

116640757 has 8 divisors (see below), whose sum is σ = 125833176. Its totient is φ = 107707392.

The previous prime is 116640749. The next prime is 116640767. The reversal of 116640757 is 757046611.

It can be written as a sum of positive squares in 4 ways, for example, as 80532676 + 36108081 = 8974^2 + 6009^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 116640757 - 23 = 116640749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116640767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63828 + ... + 65629.

It is an arithmetic number, because the mean of its divisors is an integer number (15729147).

Almost surely, 2116640757 is an apocalyptic number.

116640757 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

116640757 is a deficient number, since it is larger than the sum of its proper divisors (9192419).

116640757 is a wasteful number, since it uses less digits than its factorization.

116640757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129527.

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 116640757 is about 10800.0350462394. The cubic root of 116640757 is about 488.5962279880.

The spelling of 116640757 in words is "one hundred sixteen million, six hundred forty thousand, seven hundred fifty-seven".

Divisors: 1 17 53 901 129457 2200769 6861221 116640757