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57036 = 2237297
BaseRepresentation
bin1101111011001100
32220020110
431323030
53311121
61120020
7325200
oct157314
986213
1057036
1139941
1229010
131cc65
1416b00
1511d76
hexdecc

57036 has 36 divisors (see below), whose sum is σ = 156408. Its totient is φ = 16128.

The previous prime is 56999. The next prime is 57037. The reversal of 57036 is 63075.

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

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 57036.

It is not an unprimeable number, because it can be changed into a prime (57037) by changing a digit.

57036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 540 + ... + 636.

257036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78204).

57036 is an abundant number, since it is smaller than the sum of its proper divisors (99372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57036 is a wasteful number, since it uses less digits than its factorization.

57036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 109 counting only the distinct ones).

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

The square root of 57036 is about 238.8221095292. The cubic root of 57036 is about 38.4931117153.

It can be divided in two parts, 570 and 36, that added together give a palindrome (606).

The spelling of 57036 in words is "fifty-seven thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 97 98 147 194 196 291 294 388 582 588 679 1164 1358 2037 2716 4074 4753 8148 9506 14259 19012 28518 57036