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57210930 = 23257212973
BaseRepresentation
bin1101101000111…
…1100000110010
310222122121122100
43122033200302
5104121222210
65402121230
71263166500
oct332174062
9128577570
1057210930
112a326467
12171b0216
13bb1162a
147853670
1550515c0
hex368f832

57210930 has 72 divisors (see below), whose sum is σ = 173047212. Its totient is φ = 13075776.

The previous prime is 57210929. The next prime is 57210947. The reversal of 57210930 is 3901275.

57210930 is a `hidden beast` number, since 572 + 1 + 0 + 93 + 0 = 666.

57210930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 47155689 + 10055241 = 6867^2 + 3171^2 .

It is a super-2 number, since 2×572109302 = 6546181022929800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57210894 and 57210903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2077 + ... + 10896.

Almost surely, 257210930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57210930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86523606).

57210930 is an abundant number, since it is smaller than the sum of its proper divisors (115836282).

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

57210930 is a wasteful number, since it uses less digits than its factorization.

57210930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13000 (or 12990 counting only the distinct ones).

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

The square root of 57210930 is about 7563.7907163009. The cubic root of 57210930 is about 385.3242447526.

The spelling of 57210930 in words is "fifty-seven million, two hundred ten thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 12973 25946 38919 64865 77838 90811 116757 129730 181622 194595 233514 272433 389190 454055 544866 583785 635677 817299 908110 1167570 1271354 1362165 1634598 1907031 2724330 3178385 3814062 4086495 5721093 6356770 8172990 9535155 11442186 19070310 28605465 57210930