Search a number
-
+
2098728 = 2332103283
BaseRepresentation
bin1000000000011000101000
310221121220200
420000120220
51014124403
6112552200
723560512
oct10003050
93847820
102098728
111203895
12852660
13586368
143c8bb2
152b6ca3
hex200628

2098728 has 48 divisors (see below), whose sum is σ = 5759520. Its totient is φ = 690336.

The previous prime is 2098717. The next prime is 2098729. The reversal of 2098728 is 8278902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a d-powerful number, because it can be written as 210 + 0 + 92 + 82 + 73 + 221 + 82 .

It is a junction number, because it is equal to n+sod(n) for n = 2098692 and 2098701.

It is not an unprimeable number, because it can be changed into a prime (2098729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7275 + ... + 7557.

It is an arithmetic number, because the mean of its divisors is an integer number (119990).

22098728 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 2098728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879760).

2098728 is an abundant number, since it is smaller than the sum of its proper divisors (3660792).

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

2098728 is a wasteful number, since it uses less digits than its factorization.

2098728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 391 counting only the distinct ones).

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

The square root of 2098728 is about 1448.6987264438. The cubic root of 2098728 is about 128.0320557735.

The spelling of 2098728 in words is "two million, ninety-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 283 309 412 566 618 824 849 927 1132 1236 1698 1854 2264 2472 2547 3396 3708 5094 6792 7416 10188 20376 29149 58298 87447 116596 174894 233192 262341 349788 524682 699576 1049364 2098728