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2125728 = 253211261
BaseRepresentation
bin1000000110111110100000
310222222221200
420012332200
51021010403
6113321200
724032313
oct10067640
93888850
102125728
111222100
12866200
13595737
143d497a
152beca3
hex206fa0

2125728 has 108 divisors (see below), whose sum is σ = 6753474. Its totient is φ = 633600.

The previous prime is 2125703. The next prime is 2125733. The reversal of 2125728 is 8275212.

It can be written as a sum of positive squares in only one way, i.e., 2108304 + 17424 = 1452^2 + 132^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34818 + ... + 34878.

22125728 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 2125728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376737).

2125728 is an abundant number, since it is smaller than the sum of its proper divisors (4627746).

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

2125728 is a wasteful number, since it uses less digits than its factorization.

2125728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2125728 is about 1457.9876542687. The cubic root of 2125728 is about 128.5787593704.

The spelling of 2125728 in words is "two million, one hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 61 66 72 88 96 99 121 122 132 144 176 183 198 242 244 264 288 352 363 366 396 484 488 528 549 671 726 732 792 968 976 1056 1089 1098 1342 1452 1464 1584 1936 1952 2013 2178 2196 2684 2904 2928 3168 3872 4026 4356 4392 5368 5808 5856 6039 7381 8052 8712 8784 10736 11616 12078 14762 16104 17424 17568 21472 22143 24156 29524 32208 34848 44286 48312 59048 64416 66429 88572 96624 118096 132858 177144 193248 236192 265716 354288 531432 708576 1062864 2125728