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57730104 = 23332411109
BaseRepresentation
bin1101110000111…
…0010000111000
311000121222211000
43130032100320
5104234330404
65421205000
71300461225
oct334162070
9130558730
1057730104
112a650533
1217400760
13bc63a33
14794a94c
155105339
hex370e438

57730104 has 64 divisors (see below), whose sum is σ = 161172000. Its totient is φ = 19146240.

The previous prime is 57730103. The next prime is 57730109. The reversal of 57730104 is 40103775.

It is a super-3 number, since 3×577301043 (a number of 24 digits) contains 333 as substring.

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 (57730103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51502 + ... + 52610.

Almost surely, 257730104 is an apocalyptic number.

57730104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57730104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80586000).

57730104 is an abundant number, since it is smaller than the sum of its proper divisors (103441896).

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

57730104 is a wasteful number, since it uses less digits than its factorization.

57730104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 57730104 is about 7598.0329033244. The cubic root of 57730104 is about 386.4863084082.

Adding to 57730104 its reverse (40103775), we get a palindrome (97833879).

The spelling of 57730104 in words is "fifty-seven million, seven hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 241 482 723 964 1109 1446 1928 2169 2218 2892 3327 4338 4436 5784 6507 6654 8676 8872 9981 13014 13308 17352 19962 26028 26616 29943 39924 52056 59886 79848 119772 239544 267269 534538 801807 1069076 1603614 2138152 2405421 3207228 4810842 6414456 7216263 9621684 14432526 19243368 28865052 57730104