Search a number
-
+
2148930 = 23457379
BaseRepresentation
bin1000001100101001000010
311001011210000
420030221002
51022231210
6114020430
724160050
oct10145102
94034700
102148930
111238583
12877716
135a3174
143dd1d0
152c6ac0
hex20ca42

2148930 has 80 divisors (see below), whose sum is σ = 6621120. Its totient is φ = 489888.

The previous prime is 2148907. The next prime is 2148947. The reversal of 2148930 is 398412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2148894 and 2148903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5481 + ... + 5859.

It is an arithmetic number, because the mean of its divisors is an integer number (82764).

22148930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310560).

2148930 is an abundant number, since it is smaller than the sum of its proper divisors (4472190).

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

2148930 is a wasteful number, since it uses less digits than its factorization.

2148930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2148930 is about 1465.9229174824. The cubic root of 2148930 is about 129.0448735179.

The spelling of 2148930 in words is "two million, one hundred forty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 379 405 567 630 758 810 945 1134 1137 1890 1895 2274 2653 2835 3411 3790 5306 5670 5685 6822 7959 10233 11370 13265 15918 17055 20466 23877 26530 30699 34110 39795 47754 51165 61398 71631 79590 102330 119385 143262 153495 214893 238770 306990 358155 429786 716310 1074465 2148930