Search a number
-
+
57141560 = 2357892293
BaseRepresentation
bin1101100111111…
…0100100111000
310222112002111002
43121332210320
5104112012220
65400424132
71262460320
oct331764470
9128462432
1057141560
112a289333
1217178048
13bab8b98
147836280
15503ac75
hex367e938

57141560 has 64 divisors (see below), whose sum is σ = 148651200. Its totient is φ = 19362816.

The previous prime is 57141547. The next prime is 57141583. The reversal of 57141560 is 6514175.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23774 + ... + 26066.

It is an arithmetic number, because the mean of its divisors is an integer number (2322675).

Almost surely, 257141560 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 57141560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74325600).

57141560 is an abundant number, since it is smaller than the sum of its proper divisors (91509640).

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

57141560 is a wasteful number, since it uses less digits than its factorization.

57141560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 57141560 is about 7559.2036617623. The cubic root of 57141560 is about 385.1684426255.

The spelling of 57141560 in words is "fifty-seven million, one hundred forty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 280 356 445 623 712 890 1246 1780 2293 2492 3115 3560 4586 4984 6230 9172 11465 12460 16051 18344 22930 24920 32102 45860 64204 80255 91720 128408 160510 204077 321020 408154 642040 816308 1020385 1428539 1632616 2040770 2857078 4081540 5714156 7142695 8163080 11428312 14285390 28570780 57141560