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114057 = 32192329
BaseRepresentation
bin11011110110001001
312210110100
4123312021
512122212
62240013
7653346
oct336611
9183410
10114057
1178769
1256009
133cbb8
142d7cd
1523bdc
hex1bd89

114057 has 24 divisors (see below), whose sum is σ = 187200. Its totient is φ = 66528.

The previous prime is 114043. The next prime is 114067. The reversal of 114057 is 750411.

It is not a de Polignac number, because 114057 - 24 = 114041 is a prime.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3919 + ... + 3947.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

2114057 is an apocalyptic number.

It is an amenable number.

114057 is a deficient number, since it is larger than the sum of its proper divisors (73143).

114057 is a wasteful number, since it uses less digits than its factorization.

114057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 114057 is about 337.7232594892. The cubic root of 114057 is about 48.4961558579.

Adding to 114057 its reverse (750411), we get a palindrome (864468).

It can be divided in two parts, 1140 and 57, that multiplied together give a triangular number (64980 = T360).

The spelling of 114057 in words is "one hundred fourteen thousand, fifty-seven".

Divisors: 1 3 9 19 23 29 57 69 87 171 207 261 437 551 667 1311 1653 2001 3933 4959 6003 12673 38019 114057