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2400093 = 32266677
BaseRepresentation
bin1001001001111101011101
311111221022100
421021331131
51103300333
6123235313
726254233
oct11117535
94457270
102400093
11139a253
12978b39
13660597
14466953
15326213
hex249f5d

2400093 has 6 divisors (see below), whose sum is σ = 3466814. Its totient is φ = 1600056.

The previous prime is 2400089. The next prime is 2400107. The reversal of 2400093 is 3900042.

It can be written as a sum of positive squares in only one way, i.e., 2152089 + 248004 = 1467^2 + 498^2 .

It is not a de Polignac number, because 2400093 - 22 = 2400089 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133330 + ... + 133347.

22400093 is an apocalyptic number.

It is an amenable number.

2400093 is a deficient number, since it is larger than the sum of its proper divisors (1066721).

2400093 is a wasteful number, since it uses less digits than its factorization.

2400093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266683 (or 266680 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2400093 is about 1549.2233538131. The cubic root of 2400093 is about 133.8883193626. Note that the first 3 decimals are identical.

It can be divided in two parts, 240009 and 3, that multiplied together give a palindrome (720027).

The spelling of 2400093 in words is "two million, four hundred thousand, ninety-three".

Divisors: 1 3 9 266677 800031 2400093