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2430143120 = 24530376789
BaseRepresentation
bin1001000011011001…
…0000101010010000
320021100202001122202
42100312100222100
514434104034440
61041050222332
7114135606236
oct22066205220
96240661582
102430143120
111037830549
12579a249a8
132c9610b12
14190a68956
15e352c615
hex90d90a90

2430143120 has 20 divisors (see below), whose sum is σ = 5650082940. Its totient is φ = 972057216.

The previous prime is 2430143099. The next prime is 2430143129. The reversal of 2430143120 is 213410342.

It can be written as a sum of positive squares in 2 ways, for example, as 619810816 + 1810332304 = 24896^2 + 42548^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2430143092 and 2430143101.

It is not an unprimeable number, because it can be changed into a prime (2430143129) 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 3 ways as a sum of consecutive naturals, for example, 15188315 + ... + 15188474.

It is an arithmetic number, because the mean of its divisors is an integer number (282504147).

Almost surely, 22430143120 is an apocalyptic number.

2430143120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430143120 is an abundant number, since it is smaller than the sum of its proper divisors (3219939820).

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

2430143120 is a wasteful number, since it uses less digits than its factorization.

2430143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30376802 (or 30376796 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2430143120 is about 49296.4818217284. The cubic root of 2430143120 is about 1344.4478176320.

Adding to 2430143120 its reverse (213410342), we get a palindrome (2643553462).

The spelling of 2430143120 in words is "two billion, four hundred thirty million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 30376789 60753578 121507156 151883945 243014312 303767890 486028624 607535780 1215071560 2430143120