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114057937 = 722327713
BaseRepresentation
bin1101100110001…
…10001011010001
321221121202002001
412303012023101
5213144323222
615152354001
72553322300
oct663061321
9257552061
10114057937
1159423464
1232245901
131a826406
1411210437
15a02ee27
hex6cc62d1

114057937 has 6 divisors (see below), whose sum is σ = 132679698. Its totient is φ = 97763904.

The previous prime is 114057929. The next prime is 114057953. The reversal of 114057937 is 739750411.

It can be written as a sum of positive squares in only one way, i.e., 108493056 + 5564881 = 10416^2 + 2359^2 .

It is not a de Polignac number, because 114057937 - 23 = 114057929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114057896 and 114057905.

It is not an unprimeable number, because it can be changed into a prime (114057997) 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 5 ways as a sum of consecutive naturals, for example, 1163808 + ... + 1163905.

It is an arithmetic number, because the mean of its divisors is an integer number (22113283).

Almost surely, 2114057937 is an apocalyptic number.

It is an amenable number.

114057937 is a deficient number, since it is larger than the sum of its proper divisors (18621761).

114057937 is an equidigital number, since it uses as much as digits as its factorization.

114057937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327727 (or 2327720 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 114057937 is about 10679.7910560085. The cubic root of 114057937 is about 484.9628865922.

The spelling of 114057937 in words is "one hundred fourteen million, fifty-seven thousand, nine hundred thirty-seven".

Divisors: 1 7 49 2327713 16293991 114057937