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57300030 = 23251722203
BaseRepresentation
bin1101101010010…
…1010000111110
310222211010212100
43122211100332
5104132100110
65404045530
71264020324
oct332452076
9128733770
1057300030
112a3873a7
12172338a6
13bb43058
147877d14
15506cbc0
hex36a543e

57300030 has 72 divisors (see below), whose sum is σ = 158330952. Its totient is φ = 14374656.

The previous prime is 57300017. The next prime is 57300041. The reversal of 57300030 is 3000375.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57299976 and 57300012.

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, 24909 + ... + 27111.

It is an arithmetic number, because the mean of its divisors is an integer number (2199041).

Almost surely, 257300030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57300030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79165476).

57300030 is an abundant number, since it is smaller than the sum of its proper divisors (101030922).

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

57300030 is a wasteful number, since it uses less digits than its factorization.

57300030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 57300030 is about 7569.6783287006. The cubic root of 57300030 is about 385.5241749792.

The spelling of 57300030 in words is "fifty-seven million, three hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 289 306 510 578 765 867 1445 1530 1734 2203 2601 2890 4335 4406 5202 6609 8670 11015 13005 13218 19827 22030 26010 33045 37451 39654 66090 74902 99135 112353 187255 198270 224706 337059 374510 561765 636667 674118 1123530 1273334 1685295 1910001 3183335 3370590 3820002 5730003 6366670 9550005 11460006 19100010 28650015 57300030