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59073 = 372997
BaseRepresentation
bin1110011011000001
310000000220
432123001
53342243
61133253
7334140
oct163301
9100026
1059073
1140423
122a229
1320b71
1417757
1512783
hexe6c1

59073 has 16 divisors (see below), whose sum is σ = 94080. Its totient is φ = 32256.

The previous prime is 59069. The next prime is 59077. The reversal of 59073 is 37095.

59073 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 an interprime number because it is at equal distance from previous prime (59069) and next prime (59077).

It is not a de Polignac number, because 59073 - 22 = 59069 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (59077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

259073 is an apocalyptic number.

It is an amenable number.

59073 is a deficient number, since it is larger than the sum of its proper divisors (35007).

59073 is a wasteful number, since it uses less digits than its factorization.

59073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 59073 is about 243.0493776993. The cubic root of 59073 is about 38.9460134023.

Subtracting from 59073 its sum of digits (24), we obtain a 10-th power (59049 = 310).

The spelling of 59073 in words is "fifty-nine thousand, seventy-three".

Divisors: 1 3 7 21 29 87 97 203 291 609 679 2037 2813 8439 19691 59073