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5730375 = 35373759
BaseRepresentation
bin10101110111000001000111
3101210010121010
4111313001013
52431333000
6322453303
766464430
oct25670107
911703533
105730375
113264352
121b04233
131258371
14a92487
15782d50
hex577047

5730375 has 64 divisors (see below), whose sum is σ = 11381760. Its totient is φ = 2505600.

The previous prime is 5730353. The next prime is 5730379.

5730375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5730375 - 26 = 5730311 is a prime.

5730375 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5730379) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97096 + ... + 97154.

It is an arithmetic number, because the mean of its divisors is an integer number (177840).

Almost surely, 25730375 is an apocalyptic number.

5730375 is a deficient number, since it is larger than the sum of its proper divisors (5651385).

5730375 is a wasteful number, since it uses less digits than its factorization.

5730375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 11025, while the sum is 30.

The square root of 5730375 is about 2393.8201686844. The cubic root of 5730375 is about 178.9483429271.

It can be divided in two parts, 5730 and 375, that added together give a triangular number (6105 = T110).

The spelling of 5730375 in words is "five million, seven hundred thirty thousand, three hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 37 59 75 105 111 125 175 177 185 259 295 375 413 525 555 777 875 885 925 1239 1295 1475 2065 2183 2625 2775 3885 4425 4625 6195 6475 6549 7375 10325 10915 13875 15281 19425 22125 30975 32375 32745 45843 51625 54575 76405 97125 154875 163725 229215 272875 382025 818625 1146075 1910125 5730375