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59059 = 7111359
BaseRepresentation
bin1110011010110011
310000000101
432122303
53342214
61133231
7334120
oct163263
9100011
1059059
1140410
122a217
1320b60
1417747
1512774
hexe6b3

59059 has 16 divisors (see below), whose sum is σ = 80640. Its totient is φ = 41760.

The previous prime is 59053. The next prime is 59063. The reversal of 59059 is 95095.

59059 = T62 + T63 + ... + T83.

It is a cyclic number.

It is not a de Polignac number, because 59059 - 23 = 59051 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (59051) 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, 972 + ... + 1030.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

59059 is a Friedman number, since it can be written as 9+9^5+5^0, using all its digits and the basic arithmetic operations.

259059 is an apocalyptic number.

59059 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

59059 is the 154-th heptagonal number.

59059 is a deficient number, since it is larger than the sum of its proper divisors (21581).

59059 is a wasteful number, since it uses less digits than its factorization.

59059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90.

The product of its (nonzero) digits is 2025, while the sum is 28.

The square root of 59059 is about 243.0205752606. The cubic root of 59059 is about 38.9429364903.

The spelling of 59059 in words is "fifty-nine thousand, fifty-nine".

Divisors: 1 7 11 13 59 77 91 143 413 649 767 1001 4543 5369 8437 59059