Search a number
-
+
2145468 = 2231317809
BaseRepresentation
bin1000001011110010111100
311001000000210
420023302330
51022123333
6113552420
724144003
oct10136274
94030023
102145468
111235a16
12875710
135a1710
143dbc3a
152c5a63
hex20bcbc

2145468 has 48 divisors (see below), whose sum is σ = 5715360. Its totient is φ = 620544.

The previous prime is 2145443. The next prime is 2145469. The reversal of 2145468 is 8645412.

2145468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2248 + ... + 3056.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

22145468 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 2145468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857680).

2145468 is an abundant number, since it is smaller than the sum of its proper divisors (3569892).

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

2145468 is a wasteful number, since it uses less digits than its factorization.

2145468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 844 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 2145468 is about 1464.7416154394. The cubic root of 2145468 is about 128.9755376967.

The spelling of 2145468 in words is "two million, one hundred forty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 809 884 1326 1618 2427 2652 3236 4854 9708 10517 13753 21034 27506 31551 41259 42068 55012 63102 82518 126204 165036 178789 357578 536367 715156 1072734 2145468