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60450 = 23521331
BaseRepresentation
bin1110110000100010
310001220220
432300202
53413300
61143510
7341145
oct166042
9101826
1060450
1141465
122ab96
1321690
141805c
1512da0
hexec22

60450 has 48 divisors (see below), whose sum is σ = 166656. Its totient is φ = 14400.

The previous prime is 60449. The next prime is 60457. The reversal of 60450 is 5406.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60457) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1935 + ... + 1965.

It is an arithmetic number, because the mean of its divisors is an integer number (3472).

260450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83328).

60450 is an abundant number, since it is smaller than the sum of its proper divisors (106206).

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

60450 is a wasteful number, since it uses less digits than its factorization.

60450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 60450 is about 245.8658170629. The cubic root of 60450 is about 39.2463044379.

Adding to 60450 its reverse (5406), we get a palindrome (65856).

It can be divided in two parts, 60 and 450, that multiplied together give a cube (27000 = 303).

The spelling of 60450 in words is "sixty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 31 39 50 62 65 75 78 93 130 150 155 186 195 310 325 390 403 465 650 775 806 930 975 1209 1550 1950 2015 2325 2418 4030 4650 6045 10075 12090 20150 30225 60450