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116757 = 3212973
BaseRepresentation
bin11100100000010101
312221011100
4130200111
512214012
62300313
7664254
oct344025
9187140
10116757
117a7a3
1257699
13411b4
143079b
15248dc
hex1c815

116757 has 6 divisors (see below), whose sum is σ = 168662. Its totient is φ = 77832.

The previous prime is 116747. The next prime is 116789. The reversal of 116757 is 757611.

It can be written as a sum of positive squares in only one way, i.e., 62001 + 54756 = 249^2 + 234^2 .

It is not a de Polignac number, because 116757 - 24 = 116741 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 116757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6478 + ... + 6495.

2116757 is an apocalyptic number.

It is an amenable number.

116757 is a deficient number, since it is larger than the sum of its proper divisors (51905).

116757 is a wasteful number, since it uses less digits than its factorization.

116757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12979 (or 12976 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 116757 is about 341.6972344050. The cubic root of 116757 is about 48.8758484120.

The spelling of 116757 in words is "one hundred sixteen thousand, seven hundred fifty-seven".

Divisors: 1 3 9 12973 38919 116757