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57113940 = 223513371979
BaseRepresentation
bin1101100111011…
…1110101010100
310222110200121010
43121313311110
5104110121230
65400052220
71262313642
oct331676524
9128420533
1057113940
112a26a604
1217164070
13baa9440
14782a192
1550329b0
hex3677d54

57113940 has 96 divisors (see below), whose sum is σ = 176964480. Its totient is φ = 13671936.

The previous prime is 57113939. The next prime is 57113941. The reversal of 57113940 is 4931175.

57113940 = T184 + T185 + ... + T703.

It is an interprime number because it is at equal distance from previous prime (57113939) and next prime (57113941).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 57113898 and 57113907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57113941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27871 + ... + 29849.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380).

Almost surely, 257113940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57113940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88482240).

57113940 is an abundant number, since it is smaller than the sum of its proper divisors (119850540).

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

57113940 is a wasteful number, since it uses less digits than its factorization.

57113940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 57113940 is about 7557.3765289285. The cubic root of 57113940 is about 385.1063741596.

The spelling of 57113940 in words is "fifty-seven million, one hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 444 481 555 740 780 962 1110 1443 1924 1979 2220 2405 2886 3958 4810 5772 5937 7215 7916 9620 9895 11874 14430 19790 23748 25727 28860 29685 39580 51454 59370 73223 77181 102908 118740 128635 146446 154362 219669 257270 292892 308724 366115 385905 439338 514540 732230 771810 878676 951899 1098345 1464460 1543620 1903798 2196690 2855697 3807596 4393380 4759495 5711394 9518990 11422788 14278485 19037980 28556970 57113940