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2107728 = 243371741
BaseRepresentation
bin1000000010100101010000
310222002021000
420002211100
51014421403
6113102000
723625660
oct10024520
93862230
102107728
11120a627
12857900
1358a49c
143cc1a0
152b97a3
hex202950

2107728 has 160 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 552960.

The previous prime is 2107723. The next prime is 2107739. The reversal of 2107728 is 8277012.

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 (2107723) 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, 51388 + ... + 51428.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

22107728 is an apocalyptic number.

2107728 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 2107728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2107728 is an abundant number, since it is smaller than the sum of its proper divisors (5391792).

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

2107728 is a wasteful number, since it uses less digits than its factorization.

2107728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2107728 is about 1451.8016393433. The cubic root of 2107728 is about 128.2148085791.

The spelling of 2107728 in words is "two million, one hundred seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 41 42 48 51 54 56 63 68 72 82 84 102 108 112 119 123 126 136 144 153 164 168 189 204 216 238 246 252 272 287 306 328 336 357 369 378 408 432 459 476 492 504 574 612 656 697 714 738 756 816 861 918 952 984 1008 1071 1107 1148 1224 1394 1428 1476 1512 1722 1836 1904 1968 2091 2142 2214 2296 2448 2583 2788 2856 2952 3024 3213 3444 3672 4182 4284 4428 4592 4879 5166 5576 5712 5904 6273 6426 6888 7344 7749 8364 8568 8856 9758 10332 11152 12546 12852 13776 14637 15498 16728 17136 17712 18819 19516 20664 25092 25704 29274 30996 33456 37638 39032 41328 43911 50184 51408 58548 61992 75276 78064 87822 100368 117096 123984 131733 150552 175644 234192 263466 301104 351288 526932 702576 1053864 2107728