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57131060 = 2257297601
BaseRepresentation
bin1101100111110…
…0000000110100
310222111120002012
43121330000310
5104111143220
65400303352
71262414600
oct331740064
9128446065
1057131060
112a281458
1217171b58
13bab417c
147832500
155037ac5
hex367c034

57131060 has 72 divisors (see below), whose sum is σ = 141236424. Its totient is φ = 19353600.

The previous prime is 57131059. The next prime is 57131083. The reversal of 57131060 is 6013175.

57131060 = T119 + T120 + ... + T700.

It can be written as a sum of positive squares in 4 ways, for example, as 12348196 + 44782864 = 3514^2 + 6692^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94760 + ... + 95360.

It is an arithmetic number, because the mean of its divisors is an integer number (1961617).

Almost surely, 257131060 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 57131060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70618212).

57131060 is an abundant number, since it is smaller than the sum of its proper divisors (84105364).

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

57131060 is a wasteful number, since it uses less digits than its factorization.

57131060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 57131060 is about 7558.5091122522. The cubic root of 57131060 is about 385.1448490777.

The spelling of 57131060 in words is "fifty-seven million, one hundred thirty-one thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 97 98 140 194 196 245 388 485 490 601 679 970 980 1202 1358 1940 2404 2716 3005 3395 4207 4753 6010 6790 8414 9506 12020 13580 16828 19012 21035 23765 29449 42070 47530 58297 58898 84140 95060 116594 117796 147245 233188 291485 294490 408079 582970 588980 816158 1165940 1632316 2040395 2856553 4080790 5713106 8161580 11426212 14282765 28565530 57131060