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60352 = 262341
BaseRepresentation
bin1110101111000000
310001210021
432233000
53412402
61143224
7340645
oct165700
9101707
1060352
1141386
122ab14
1321616
1417dcc
1512d37
hexebc0

60352 has 28 divisors (see below), whose sum is σ = 128016. Its totient is φ = 28160.

The previous prime is 60343. The next prime is 60353. The reversal of 60352 is 25306.

60352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a d-powerful number, because it can be written as 64 + 0 + 310 + 5 + 2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60353) by changing a digit.

60352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1452 + ... + 1492.

It is an arithmetic number, because the mean of its divisors is an integer number (4572).

260352 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 60352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64008).

60352 is an abundant number, since it is smaller than the sum of its proper divisors (67664).

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

60352 is a wasteful number, since it uses less digits than its factorization.

60352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 60352 is about 245.6664405245. Note that the first 3 decimals coincide. The cubic root of 60352 is about 39.2250845971.

Adding to 60352 its reverse (25306), we get a palindrome (85658).

The spelling of 60352 in words is "sixty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 164 184 328 368 656 736 943 1312 1472 1886 2624 3772 7544 15088 30176 60352