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57684 = 223111923
BaseRepresentation
bin1110000101010100
32221010110
432011110
53321214
61123020
7330114
oct160524
987113
1057684
113a380
1229470
1320343
1417044
1512159
hexe154

57684 has 48 divisors (see below), whose sum is σ = 161280. Its totient is φ = 15840.

The previous prime is 57679. The next prime is 57689. The reversal of 57684 is 48675.

57684 = T35 + T36 + ... + T72.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57679) and next prime (57689).

Its product of digits (6720) is a multiple of the sum of its prime factors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57689) by changing a digit.

57684 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 2497 + ... + 2519.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

257684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

57684 is an abundant number, since it is smaller than the sum of its proper divisors (103596).

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

57684 is a wasteful number, since it uses less digits than its factorization.

57684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 58 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 57684 is about 240.1749362444. The cubic root of 57684 is about 38.6383396704.

Subtracting from 57684 its reverse (48675), we obtain a palindrome (9009).

It can be divided in two parts, 576 and 84, that multiplied together give a palindrome (48384).

The spelling of 57684 in words is "fifty-seven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 19 22 23 33 38 44 46 57 66 69 76 92 114 132 138 209 228 253 276 418 437 506 627 759 836 874 1012 1254 1311 1518 1748 2508 2622 3036 4807 5244 9614 14421 19228 28842 57684