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60008 = 2313577
BaseRepresentation
bin1110101001101000
310001022112
432221220
53410013
61141452
7336644
oct165150
9101275
1060008
11410a3
122a888
1321410
1417c24
1512ba8
hexea68

60008 has 16 divisors (see below), whose sum is σ = 121380. Its totient is φ = 27648.

The previous prime is 59999. The next prime is 60013. The reversal of 60008 is 80006.

It is a happy number.

60008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 58564 + 1444 = 242^2 + 38^2 .

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 59974 and 60001.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185 + ... + 392.

260008 is an apocalyptic number.

It is an amenable number.

60008 is an abundant number, since it is smaller than the sum of its proper divisors (61372).

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 (60690).

60008 is a wasteful number, since it uses less digits than its factorization.

60008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 60008 is about 244.9653036656. The cubic root of 60008 is about 39.1504162755.

The spelling of 60008 in words is "sixty thousand, eight".

Divisors: 1 2 4 8 13 26 52 104 577 1154 2308 4616 7501 15002 30004 60008