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57130200 = 233252171867
BaseRepresentation
bin1101100111101…
…1110011011000
310222111111220100
43121323303120
5104111131300
65400255400
71262412231
oct331736330
9128444810
1057130200
112a280846
1217171560
13bab396a
147832088
155037700
hex367bcd8

57130200 has 144 divisors (see below), whose sum is σ = 203257080. Its totient is φ = 14330880.

The previous prime is 57130181. The next prime is 57130219. The reversal of 57130200 is 203175.

It is an interprime number because it is at equal distance from previous prime (57130181) and next prime (57130219).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29667 + ... + 31533.

Almost surely, 257130200 is an apocalyptic number.

57130200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101628540).

57130200 is an abundant number, since it is smaller than the sum of its proper divisors (146126880).

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

57130200 is a wasteful number, since it uses less digits than its factorization.

57130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 57130200 is about 7558.4522225122. The cubic root of 57130200 is about 385.1429165257.

Adding to 57130200 its reverse (203175), we get a palindrome (57333375).

Subtracting from 57130200 its reverse (203175), we obtain a square (56927025 = 75452).

The spelling of 57130200 in words is "fifty-seven million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 25 30 34 36 40 45 50 51 60 68 72 75 85 90 100 102 120 136 150 153 170 180 200 204 225 255 300 306 340 360 408 425 450 510 600 612 680 765 850 900 1020 1224 1275 1530 1700 1800 1867 2040 2550 3060 3400 3734 3825 5100 5601 6120 7468 7650 9335 10200 11202 14936 15300 16803 18670 22404 28005 30600 31739 33606 37340 44808 46675 56010 63478 67212 74680 84015 93350 95217 112020 126956 134424 140025 158695 168030 186700 190434 224040 253912 280050 285651 317390 336060 373400 380868 420075 476085 560100 571302 634780 672120 761736 793475 840150 952170 1120200 1142604 1269560 1428255 1586950 1680300 1904340 2285208 2380425 2856510 3173900 3360600 3808680 4760850 5713020 6347800 7141275 9521700 11426040 14282550 19043400 28565100 57130200