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57102930 = 23253197211
BaseRepresentation
bin1101100111010…
…1001001010010
310222110010111100
43121311021102
5104104243210
65355525230
71262236563
oct331651122
9128403440
1057102930
112a262305
1217159816
13baa4421
14782616a
15502e5c0
hex3675252

57102930 has 96 divisors (see below), whose sum is σ = 155570688. Its totient is φ = 14515200.

The previous prime is 57102911. The next prime is 57102931. The reversal of 57102930 is 3920175.

57102930 is a `hidden beast` number, since 571 + 0 + 2 + 93 + 0 = 666.

57102930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×571029302 = 6521489229169800, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 57102894 and 57102903.

It is not an unprimeable number, because it can be changed into a prime (57102931) by changing a digit.

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, 270525 + ... + 270735.

It is an arithmetic number, because the mean of its divisors is an integer number (1620528).

Almost surely, 257102930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57102930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77785344).

57102930 is an abundant number, since it is smaller than the sum of its proper divisors (98467758).

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

57102930 is a wasteful number, since it uses less digits than its factorization.

57102930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 349 counting only the distinct ones).

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

The square root of 57102930 is about 7556.6480664379. The cubic root of 57102930 is about 385.0816265898.

The spelling of 57102930 in words is "fifty-seven million, one hundred two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 97 155 186 194 211 279 291 310 422 465 485 558 582 633 873 930 970 1055 1266 1395 1455 1746 1899 2110 2790 2910 3007 3165 3798 4365 6014 6330 6541 8730 9021 9495 13082 15035 18042 18990 19623 20467 27063 30070 32705 39246 40934 45105 54126 58869 61401 65410 90210 98115 102335 117738 122802 135315 184203 196230 204670 270630 294345 307005 368406 588690 614010 634477 921015 1268954 1842030 1903431 3172385 3806862 5710293 6344770 9517155 11420586 19034310 28551465 57102930