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62530 = 2513237
BaseRepresentation
bin1111010001000010
310011202221
433101002
54000110
61201254
7350206
oct172102
9104687
1062530
1142a86
123022a
1322600
1418b06
15137da
hexf442

62530 has 24 divisors (see below), whose sum is σ = 125172. Its totient is φ = 22464.

The previous prime is 62507. The next prime is 62533. The reversal of 62530 is 3526.

62530 = T36 + T37 + ... + T74.

It can be written as a sum of positive squares in 6 ways, for example, as 17161 + 45369 = 131^2 + 213^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (62533) by changing a digit.

62530 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 11 ways as a sum of consecutive naturals, for example, 1672 + ... + 1708.

262530 is an apocalyptic number.

62530 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62586).

62530 is a wasteful number, since it uses less digits than its factorization.

62530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 57 counting only the distinct ones).

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

The square root of 62530 is about 250.0599928017. The cubic root of 62530 is about 39.6913748877.

The spelling of 62530 in words is "sixty-two thousand, five hundred thirty".

Divisors: 1 2 5 10 13 26 37 65 74 130 169 185 338 370 481 845 962 1690 2405 4810 6253 12506 31265 62530