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57104460 = 22335715107
BaseRepresentation
bin1101100111010…
…1100001001100
310222110012121000
43121311201030
5104104320320
65355540300
71262244210
oct331654114
9128405530
1057104460
112a263476
121715a690
13baa502a
147826940
15502ec90
hex367584c

57104460 has 96 divisors (see below), whose sum is σ = 203051520. Its totient is φ = 13051584.

The previous prime is 57104459. The next prime is 57104461. The reversal of 57104460 is 6440175.

57104460 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 (57104459) and next prime (57104461).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57104461) 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 31 ways as a sum of consecutive naturals, for example, 3774 + ... + 11333.

It is an arithmetic number, because the mean of its divisors is an integer number (2115120).

Almost surely, 257104460 is an apocalyptic number.

It is an amenable number.

57104460 is an abundant number, since it is smaller than the sum of its proper divisors (145947060).

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

57104460 is a wasteful number, since it uses less digits than its factorization.

57104460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15132 (or 15124 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 57104460 is about 7556.7493011215. The cubic root of 57104460 is about 385.0850658157.

The spelling of 57104460 in words is "fifty-seven million, one hundred four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 15107 30214 45321 60428 75535 90642 105749 135963 151070 181284 211498 226605 271926 302140 317247 407889 422996 453210 528745 543852 634494 679815 815778 906420 951741 1057490 1268988 1359630 1586235 1631556 1903482 2039445 2114980 2719260 2855223 3172470 3806964 4078890 4758705 5710446 6344940 8157780 9517410 11420892 14276115 19034820 28552230 57104460