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57551130 = 23257137027
BaseRepresentation
bin1101101110001…
…0100100011010
311000021220022100
43123202210122
5104213114010
65413304230
71266114360
oct333424432
9130256270
1057551130
112a53901a
1217335076
13bc00430
147901630
1550bc2c0
hex36e291a

57551130 has 96 divisors (see below), whose sum is σ = 184189824. Its totient is φ = 12140928.

The previous prime is 57551111. The next prime is 57551149. The reversal of 57551130 is 3115575.

57551130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57551111) and next prime (57551149).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57551094 and 57551103.

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 47 ways as a sum of consecutive naturals, for example, 4677 + ... + 11703.

It is an arithmetic number, because the mean of its divisors is an integer number (1918644).

Almost surely, 257551130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57551130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92094912).

57551130 is an abundant number, since it is smaller than the sum of its proper divisors (126638694).

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

57551130 is a wasteful number, since it uses less digits than its factorization.

57551130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7060 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 57551130 is about 7586.2461072654. The cubic root of 57551130 is about 386.0865019520.

The spelling of 57551130 in words is "fifty-seven million, five hundred fifty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 7027 8190 14054 21081 35135 42162 49189 63243 70270 91351 98378 105405 126486 147567 182702 210810 245945 274053 295134 316215 442701 456755 491890 548106 632430 639457 737835 822159 885402 913510 1278914 1370265 1475670 1644318 1918371 2213505 2740530 3197285 3836742 4110795 4427010 5755113 6394570 8221590 9591855 11510226 19183710 28775565 57551130