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57114 = 23219167
BaseRepresentation
bin1101111100011010
32220100100
431330122
53311424
61120230
7325341
oct157432
986310
1057114
1139a02
1229076
131ccc5
1416b58
1511dc9
hexdf1a

57114 has 24 divisors (see below), whose sum is σ = 131040. Its totient is φ = 17928.

The previous prime is 57107. The next prime is 57119. The reversal of 57114 is 41175.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57119) by changing a digit.

57114 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

257114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520).

57114 is an abundant number, since it is smaller than the sum of its proper divisors (73926).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57114 is a wasteful number, since it uses less digits than its factorization.

57114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 191 counting only the distinct ones).

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

The square root of 57114 is about 238.9853551999. The cubic root of 57114 is about 38.5106509015.

Adding to 57114 its reverse (41175), we get a palindrome (98289).

It can be divided in two parts, 571 and 14, that added together give a palindrome (585).

The spelling of 57114 in words is "fifty-seven thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 167 171 334 342 501 1002 1503 3006 3173 6346 9519 19038 28557 57114