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55314 = 2327439
BaseRepresentation
bin1101100000010010
32210212200
431200102
53232224
61104030
7320160
oct154022
983780
1055314
1138616
1228016
131c23c
1416230
15115c9
hexd812

55314 has 24 divisors (see below), whose sum is σ = 137280. Its totient is φ = 15768.

The previous prime is 55313. The next prime is 55331. The reversal of 55314 is 41355.

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

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55314.

It is not an unprimeable number, because it can be changed into a prime (55313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (5720).

255314 is an apocalyptic number.

55314 is an abundant number, since it is smaller than the sum of its proper divisors (81966).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68640).

55314 is a wasteful number, since it uses less digits than its factorization.

55314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 451 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 55314 is about 235.1892854702. The cubic root of 55314 is about 38.1017586557.

Adding to 55314 its reverse (41355), we get a palindrome (96669).

The spelling of 55314 in words is "fifty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 439 878 1317 2634 3073 3951 6146 7902 9219 18438 27657 55314