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57780 = 22335107
BaseRepresentation
bin1110000110110100
32221021000
432012310
53322110
61123300
7330312
oct160664
987230
1057780
113a458
1229530
13203b8
14170b2
15121c0
hexe1b4

57780 has 48 divisors (see below), whose sum is σ = 181440. Its totient is φ = 15264.

The previous prime is 57773. The next prime is 57781. The reversal of 57780 is 8775.

57780 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 a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57781) 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, 487 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

257780 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 57780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

57780 is an abundant number, since it is smaller than the sum of its proper divisors (123660).

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

57780 is a wasteful number, since it uses less digits than its factorization.

57780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 57780 is about 240.3747074881. The cubic root of 57780 is about 38.6597622763.

The spelling of 57780 in words is "fifty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 428 535 540 642 963 1070 1284 1605 1926 2140 2889 3210 3852 4815 5778 6420 9630 11556 14445 19260 28890 57780