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60093 = 3211607
BaseRepresentation
bin1110101010111101
310001102200
432222331
53410333
61142113
7340125
oct165275
9101380
1060093
1141170
122a939
1321477
1417c85
1512c13
hexeabd

60093 has 12 divisors (see below), whose sum is σ = 94848. Its totient is φ = 36360.

The previous prime is 60091. The next prime is 60101. The reversal of 60093 is 39006.

It is not a de Polignac number, because 60093 - 21 = 60091 is a prime.

It is a super-2 number, since 2×600932 = 7222337298, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 60093.

It is not an unprimeable number, because it can be changed into a prime (60091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205 + ... + 402.

It is an arithmetic number, because the mean of its divisors is an integer number (7904).

260093 is an apocalyptic number.

It is an amenable number.

60093 is a deficient number, since it is larger than the sum of its proper divisors (34755).

60093 is a wasteful number, since it uses less digits than its factorization.

60093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 60093 is about 245.1387362291. The cubic root of 60093 is about 39.1688927863.

Adding to 60093 its reverse (39006), we get a palindrome (99099).

The spelling of 60093 in words is "sixty thousand, ninety-three".

Divisors: 1 3 9 11 33 99 607 1821 5463 6677 20031 60093