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57172060 = 225113183101
BaseRepresentation
bin1101101000011…
…0000001011100
310222120122022201
43122012001130
5104114001220
65401221244
71262645251
oct332060134
9128518281
1057172060
112a2aa240
1217191824
13bac9a2a
147843428
155044d0a
hex368605c

57172060 has 96 divisors (see below), whose sum is σ = 138184704. Its totient is φ = 19680000.

The previous prime is 57172033. The next prime is 57172061. The reversal of 57172060 is 6027175.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57172061) 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 31 ways as a sum of consecutive naturals, for example, 566010 + ... + 566110.

It is an arithmetic number, because the mean of its divisors is an integer number (1439424).

Almost surely, 257172060 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 57172060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69092352).

57172060 is an abundant number, since it is smaller than the sum of its proper divisors (81012644).

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

57172060 is a wasteful number, since it uses less digits than its factorization.

57172060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 57172060 is about 7561.2208009025. The cubic root of 57172060 is about 385.2369598774.

It can be divided in two parts, 5717 and 2060, that added together give a palindrome (7777).

The spelling of 57172060 in words is "fifty-seven million, one hundred seventy-two thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 83 101 110 124 155 166 202 220 310 332 341 404 415 505 620 682 830 913 1010 1111 1364 1660 1705 1826 2020 2222 2573 3131 3410 3652 4444 4565 5146 5555 6262 6820 8383 9130 10292 11110 12524 12865 15655 16766 18260 22220 25730 28303 31310 33532 34441 41915 51460 56606 62620 68882 83830 92213 113212 137764 141515 167660 172205 184426 259873 283030 344410 368852 461065 519746 566060 688820 922130 1039492 1299365 1844260 2598730 2858603 5197460 5717206 11434412 14293015 28586030 57172060