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159057 = 3343137
BaseRepresentation
bin100110110101010001
322002012000
4212311101
520042212
63224213
71231503
oct466521
9262160
10159057
11a9558
1278069
1357522
1441d73
15321dc
hex26d51

159057 has 16 divisors (see below), whose sum is σ = 242880. Its totient is φ = 102816.

The previous prime is 159023. The next prime is 159059. The reversal of 159057 is 750951.

159057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 159057 - 26 = 158993 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 159057.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 159057.

It is not an unprimeable number, because it can be changed into a prime (159059) 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, 1093 + ... + 1229.

It is an arithmetic number, because the mean of its divisors is an integer number (15180).

2159057 is an apocalyptic number.

It is an amenable number.

159057 is a deficient number, since it is larger than the sum of its proper divisors (83823).

159057 is a wasteful number, since it uses less digits than its factorization.

159057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 159057 is about 398.8195080484. The cubic root of 159057 is about 54.1814881203.

The spelling of 159057 in words is "one hundred fifty-nine thousand, fifty-seven".

Divisors: 1 3 9 27 43 129 137 387 411 1161 1233 3699 5891 17673 53019 159057