Search a number
-
+
2728890 = 23551123
BaseRepresentation
bin1010011010001110111010
312010122100000
422122032322
51144311030
6134253430
732123643
oct12321672
95118300
102728890
1115a428a
12ab7276
13747138
145106ca
1538d860
hex29a3ba

2728890 has 48 divisors (see below), whose sum is σ = 7364448. Its totient is φ = 727056.

The previous prime is 2728889. The next prime is 2728907. The reversal of 2728890 is 988272.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1869 + ... + 2991.

It is an arithmetic number, because the mean of its divisors is an integer number (153426).

22728890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682224).

2728890 is an abundant number, since it is smaller than the sum of its proper divisors (4635558).

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

2728890 is a wasteful number, since it uses less digits than its factorization.

2728890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2728890 is about 1651.9352287544. The cubic root of 2728890 is about 139.7425540839.

The spelling of 2728890 in words is "two million, seven hundred twenty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1123 1215 2246 2430 3369 5615 6738 10107 11230 16845 20214 30321 33690 50535 60642 90963 101070 151605 181926 272889 303210 454815 545778 909630 1364445 2728890