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57056340 = 223511229271
BaseRepresentation
bin1101100110100…
…1110001010100
310222100202120210
43121221301110
5104101300330
65354525420
71261654005
oct331516124
9128322523
1057056340
112a230300
1217136870
13ba89163
1478131ac
1550208b0
hex3669c54

57056340 has 144 divisors (see below), whose sum is σ = 182327040. Its totient is φ = 13305600.

The previous prime is 57056339. The next prime is 57056347. The reversal of 57056340 is 4365075.

57056340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 57056298 and 57056307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57056347) 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 47 ways as a sum of consecutive naturals, for example, 210405 + ... + 210675.

It is an arithmetic number, because the mean of its divisors is an integer number (1266160).

Almost surely, 257056340 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 57056340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91163520).

57056340 is an abundant number, since it is smaller than the sum of its proper divisors (125270700).

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

57056340 is a wasteful number, since it uses less digits than its factorization.

57056340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 57056340 is about 7553.5647213749. The cubic root of 57056340 is about 384.9768693586.

The spelling of 57056340 in words is "fifty-seven million, fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 121 132 145 165 174 220 242 271 290 319 330 348 363 435 484 542 580 605 638 660 726 813 870 957 1084 1210 1276 1355 1452 1595 1626 1740 1815 1914 2420 2710 2981 3190 3252 3509 3630 3828 4065 4785 5420 5962 6380 7018 7260 7859 8130 8943 9570 10527 11924 14036 14905 15718 16260 17545 17886 19140 21054 23577 29810 31436 32791 35090 35772 39295 42108 44715 47154 52635 59620 65582 70180 78590 86449 89430 94308 98373 105270 117885 131164 157180 163955 172898 178860 196746 210540 235770 259347 327910 345796 393492 432245 471540 491865 518694 655820 864490 950939 983730 1037388 1296735 1728980 1901878 1967460 2593470 2852817 3803756 4754695 5186940 5705634 9509390 11411268 14264085 19018780 28528170 57056340