Search a number
-
+
60705 = 3251971
BaseRepresentation
bin1110110100100001
310002021100
432310201
53420310
61145013
7341661
oct166441
9102240
1060705
1141677
122b169
1321828
14181a1
1512ec0
hexed21

60705 has 24 divisors (see below), whose sum is σ = 112320. Its totient is φ = 30240.

The previous prime is 60703. The next prime is 60719. The reversal of 60705 is 50706.

60705 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 60705 - 21 = 60703 is a prime.

60705 is a lucky number.

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 (60703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 820 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

260705 is an apocalyptic number.

It is an amenable number.

60705 is a deficient number, since it is larger than the sum of its proper divisors (51615).

60705 is a wasteful number, since it uses less digits than its factorization.

60705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 60705 is about 246.3838468731. The cubic root of 60705 is about 39.3014120659.

Subtracting from 60705 its reverse (50706), we obtain a palindrome (9999).

The spelling of 60705 in words is "sixty thousand, seven hundred five".

Divisors: 1 3 5 9 15 19 45 57 71 95 171 213 285 355 639 855 1065 1349 3195 4047 6745 12141 20235 60705