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36057 = 3717101
BaseRepresentation
bin1000110011011001
31211110110
420303121
52123212
6434533
7210060
oct106331
954413
1036057
11250aa
1218a49
1313548
14d1d7
15aa3c
hex8cd9

36057 has 16 divisors (see below), whose sum is σ = 58752. Its totient is φ = 19200.

The previous prime is 36037. The next prime is 36061. The reversal of 36057 is 75063.

36057 = T28 + T29 + ... + T61.

36057 is nontrivially palindromic in base 5.

36057 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

36057 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 36057 - 26 = 35993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36057.

It is not an unprimeable number, because it can be changed into a prime (36007) 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, 307 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (3672).

236057 is an apocalyptic number.

It is an amenable number.

36057 is a deficient number, since it is larger than the sum of its proper divisors (22695).

36057 is a wasteful number, since it uses less digits than its factorization.

36057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 36057 is about 189.8868083886. The cubic root of 36057 is about 33.0366901378.

The spelling of 36057 in words is "thirty-six thousand, fifty-seven".

Divisors: 1 3 7 17 21 51 101 119 303 357 707 1717 2121 5151 12019 36057