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60390 = 23251161
BaseRepresentation
bin1110101111100110
310001211200
432233212
53413030
61143330
7341031
oct165746
9101750
1060390
1141410
122ab46
1321645
1418018
1512d60
hexebe6

60390 has 48 divisors (see below), whose sum is σ = 174096. Its totient is φ = 14400.

The previous prime is 60383. The next prime is 60397. The reversal of 60390 is 9306.

Added to its reverse (9306) it gives a square (69696 = 2642).

It is an interprime number because it is at equal distance from previous prime (60383) and next prime (60397).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60397) by changing a digit.

60390 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 960 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (3627).

260390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87048).

60390 is an abundant number, since it is smaller than the sum of its proper divisors (113706).

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

60390 is a wasteful number, since it uses less digits than its factorization.

60390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 60390 is about 245.7437689953. The cubic root of 60390 is about 39.2333154234.

Adding to 60390 its reverse (9306), we get a palindrome (69696).

The spelling of 60390 in words is "sixty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 61 66 90 99 110 122 165 183 198 305 330 366 495 549 610 671 915 990 1098 1342 1830 2013 2745 3355 4026 5490 6039 6710 10065 12078 20130 30195 60390