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57139020 = 223653919
BaseRepresentation
bin1101100111110…
…1111101001100
310222111222000000
43121331331030
5104111422040
65400404300
71262450031
oct331757514
9128458000
1057139020
112a287434
1217176690
13bab7993
147835388
15503a130
hex367df4c

57139020 has 84 divisors (see below), whose sum is σ = 179951520. Its totient is φ = 15233184.

The previous prime is 57139013. The next prime is 57139031. The reversal of 57139020 is 2093175.

57139020 is a `hidden beast` number, since 571 + 3 + 90 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 27 ways as a sum of consecutive naturals, for example, 12621 + ... + 16539.

It is an arithmetic number, because the mean of its divisors is an integer number (2142280).

Almost surely, 257139020 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 57139020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89975760).

57139020 is an abundant number, since it is smaller than the sum of its proper divisors (122812500).

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

57139020 is a wasteful number, since it uses less digits than its factorization.

57139020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 57139020 is about 7559.0356527801. The cubic root of 57139020 is about 385.1627354990.

The spelling of 57139020 in words is "fifty-seven million, one hundred thirty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 3919 4860 7290 7838 11757 14580 15676 19595 23514 35271 39190 47028 58785 70542 78380 105813 117570 141084 176355 211626 235140 317439 352710 423252 529065 634878 705420 952317 1058130 1269756 1587195 1904634 2116260 2856951 3174390 3809268 4761585 5713902 6348780 9523170 11427804 14284755 19046340 28569510 57139020