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57705140 = 22517433947
BaseRepresentation
bin1101110000100…
…0001010110100
311000120201120102
43130020022310
5104233031030
65420453232
71300325363
oct334101264
9130521512
1057705140
112a6337a9
12173aa218
13bc5556c
1479417da
1550ecc45
hex37082b4

57705140 has 48 divisors (see below), whose sum is σ = 131326272. Its totient is φ = 21213696.

The previous prime is 57705121. The next prime is 57705149. The reversal of 57705140 is 4150775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57705149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12647 + ... + 16593.

It is an arithmetic number, because the mean of its divisors is an integer number (2735964).

Almost surely, 257705140 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 57705140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65663136).

57705140 is an abundant number, since it is smaller than the sum of its proper divisors (73621132).

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

57705140 is a wasteful number, since it uses less digits than its factorization.

57705140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 57705140 is about 7596.3899320664. The cubic root of 57705140 is about 386.4305914623.

The spelling of 57705140 in words is "fifty-seven million, seven hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 731 860 1462 2924 3655 3947 7310 7894 14620 15788 19735 39470 67099 78940 134198 169721 268396 335495 339442 670990 678884 848605 1341980 1697210 2885257 3394420 5770514 11541028 14426285 28852570 57705140