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2057328 = 2432713157
BaseRepresentation
bin111110110010001110000
310212112010100
413312101300
51011313303
6112032400
723326020
oct7662160
93775110
102057328
111185779
12832700
13570570
143b7a80
152a98a3
hex1f6470

2057328 has 120 divisors (see below), whose sum is σ = 7131488. Its totient is φ = 539136.

The previous prime is 2057317. The next prime is 2057333. The reversal of 2057328 is 8237502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13026 + ... + 13182.

22057328 is an apocalyptic number.

2057328 is a gapful number since it is divisible by the number (28) 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 2057328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565744).

2057328 is an abundant number, since it is smaller than the sum of its proper divisors (5074160).

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

2057328 is a wasteful number, since it uses less digits than its factorization.

2057328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2057328 is about 1434.3388720940. The cubic root of 2057328 is about 127.1845952627.

The spelling of 2057328 in words is "two million, fifty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 157 168 182 208 234 252 273 312 314 336 364 468 471 504 546 624 628 728 819 936 942 1008 1092 1099 1256 1413 1456 1638 1872 1884 2041 2184 2198 2512 2826 3276 3297 3768 4082 4368 4396 5652 6123 6552 6594 7536 8164 8792 9891 11304 12246 13104 13188 14287 16328 17584 18369 19782 22608 24492 26376 28574 32656 36738 39564 42861 48984 52752 57148 73476 79128 85722 97968 114296 128583 146952 158256 171444 228592 257166 293904 342888 514332 685776 1028664 2057328