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57141140 = 2257616691
BaseRepresentation
bin1101100111111…
…0011110010100
310222112001220112
43121332132110
5104112004030
65400422152
71262456150
oct331763624
9128461815
1057141140
112a288a91
1217177958
13bab8934
147836060
15503aa95
hex367e794

57141140 has 48 divisors (see below), whose sum is σ = 139407744. Its totient is φ = 19267200.

The previous prime is 57141137. The next prime is 57141173. The reversal of 57141140 is 4114175.

It is a happy number.

It is a super-4 number, since 4×571411404 (a number of 32 digits) contains 4444 as substring.

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, 5195 + ... + 11885.

It is an arithmetic number, because the mean of its divisors is an integer number (2904328).

Almost surely, 257141140 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 57141140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69703872).

57141140 is an abundant number, since it is smaller than the sum of its proper divisors (82266604).

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

57141140 is a wasteful number, since it uses less digits than its factorization.

57141140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 57141140 is about 7559.1758810071. The cubic root of 57141140 is about 385.1674989391.

The spelling of 57141140 in words is "fifty-seven million, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 6691 8540 13382 26764 33455 46837 66910 93674 133820 187348 234185 408151 468370 816302 936740 1632604 2040755 2857057 4081510 5714114 8163020 11428228 14285285 28570570 57141140