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57146010 = 23517891259
BaseRepresentation
bin1101100111111…
…1101010011010
310222112022120220
43121333222122
5104112133020
65400500510
71262506305
oct331775232
9128468526
1057146010
112a291709
121717a736
13babac0c
147837b3c
15503c240
hex367fa9a

57146010 has 64 divisors (see below), whose sum is σ = 146966400. Its totient is φ = 14170112.

The previous prime is 57146009. The next prime is 57146029. The reversal of 57146010 is 1064175.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44761 + ... + 46019.

It is an arithmetic number, because the mean of its divisors is an integer number (2296350).

Almost surely, 257146010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57146010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73483200).

57146010 is an abundant number, since it is smaller than the sum of its proper divisors (89820390).

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

57146010 is a wasteful number, since it uses less digits than its factorization.

57146010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 57146010 is about 7559.4979992060. The cubic root of 57146010 is about 385.1784409238.

The spelling of 57146010 in words is "fifty-seven million, one hundred forty-six thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 89 102 170 178 255 267 445 510 534 890 1259 1335 1513 2518 2670 3026 3777 4539 6295 7554 7565 9078 12590 15130 18885 21403 22695 37770 42806 45390 64209 107015 112051 128418 214030 224102 321045 336153 560255 642090 672306 1120510 1680765 1904867 3361530 3809734 5714601 9524335 11429202 19048670 28573005 57146010