Search a number
-
+
2289696 = 253172361
BaseRepresentation
bin1000101111000000100000
311022022212120
420233000200
51041232241
6121024240
725314333
oct10570040
94268776
102289696
111324312
12925080
13622266
1443861a
15303666
hex22f020

2289696 has 96 divisors (see below), whose sum is σ = 6749568. Its totient is φ = 675840.

The previous prime is 2289689. The next prime is 2289697. The reversal of 2289696 is 6969822.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2289697) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37506 + ... + 37566.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

22289696 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 2289696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374784).

2289696 is an abundant number, since it is smaller than the sum of its proper divisors (4459872).

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

2289696 is a wasteful number, since it uses less digits than its factorization.

2289696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 2289696 is about 1513.1741472811. The cubic root of 2289696 is about 131.8031961633.

The spelling of 2289696 in words is "two million, two hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 61 68 69 92 96 102 122 136 138 183 184 204 244 272 276 366 368 391 408 488 544 552 732 736 782 816 976 1037 1104 1173 1403 1464 1564 1632 1952 2074 2208 2346 2806 2928 3111 3128 4148 4209 4692 5612 5856 6222 6256 8296 8418 9384 11224 12444 12512 16592 16836 18768 22448 23851 24888 33184 33672 37536 44896 47702 49776 67344 71553 95404 99552 134688 143106 190808 286212 381616 572424 763232 1144848 2289696