Search a number
-
+
2302120 = 23567859
BaseRepresentation
bin1000110010000010101000
311022221220201
420302002220
51042131440
6121201544
725365502
oct10620250
94287821
102302120
111332687
129302b4
13627b02
1443cd72
1530719a
hex2320a8

2302120 has 32 divisors (see below), whose sum is σ = 5263200. Its totient is φ = 906048.

The previous prime is 2302117. The next prime is 2302151. The reversal of 2302120 is 212032.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2302097 and 2302106.

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 7 ways as a sum of consecutive naturals, for example, 2251 + ... + 3109.

It is an arithmetic number, because the mean of its divisors is an integer number (164475).

22302120 is an apocalyptic number.

2302120 is a gapful number since it is divisible by the number (20) 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 2302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631600).

2302120 is an abundant number, since it is smaller than the sum of its proper divisors (2961080).

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

2302120 is a wasteful number, since it uses less digits than its factorization.

2302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2302120 is about 1517.2738711254. The cubic root of 2302120 is about 132.0411564349.

Adding to 2302120 its reverse (212032), we get a palindrome (2514152).

The spelling of 2302120 in words is "two million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 859 1340 1718 2680 3436 4295 6872 8590 17180 34360 57553 115106 230212 287765 460424 575530 1151060 2302120