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60736 = 261373
BaseRepresentation
bin1110110101000000
310002022111
432311000
53420421
61145104
7342034
oct166500
9102274
1060736
11416a5
122b194
1321850
14181c4
1512ee1
hexed40

60736 has 28 divisors (see below), whose sum is σ = 131572. Its totient is φ = 27648.

The previous prime is 60733. The next prime is 60737. The reversal of 60736 is 63706.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 40000 = 144^2 + 200^2 .

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 (60733) 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 3 ways as a sum of consecutive naturals, for example, 796 + ... + 868.

It is an arithmetic number, because the mean of its divisors is an integer number (4699).

260736 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 60736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65786).

60736 is an abundant number, since it is smaller than the sum of its proper divisors (70836).

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

60736 is a wasteful number, since it uses less digits than its factorization.

60736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 60736 is about 246.4467488120. The cubic root of 60736 is about 39.3081008968.

The spelling of 60736 in words is "sixty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 146 208 292 416 584 832 949 1168 1898 2336 3796 4672 7592 15184 30368 60736