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2142464 = 288369
BaseRepresentation
bin1000001011000100000000
311000211220112
420023010000
51022024324
6113530452
724132152
oct10130400
94024815
102142464
111233735
12873a28
135a023c
143daad2
152c4c0e
hex20b100

2142464 has 18 divisors (see below), whose sum is σ = 4277070. Its totient is φ = 1071104.

The previous prime is 2142463. The next prime is 2142499. The reversal of 2142464 is 4642412.

It can be written as a sum of positive squares in only one way, i.e., 1982464 + 160000 = 1408^2 + 400^2 .

It is not an unprimeable number, because it can be changed into a prime (2142463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3929 + ... + 4440.

It is an arithmetic number, because the mean of its divisors is an integer number (237615).

22142464 is an apocalyptic number.

It is an amenable number.

2142464 is a deficient number, since it is larger than the sum of its proper divisors (2134606).

2142464 is an frugal number, since it uses more digits than its factorization.

2142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385 (or 8371 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 2142464 is about 1463.7158194130. The cubic root of 2142464 is about 128.9153140869.

Adding to 2142464 its reverse (4642412), we get a palindrome (6784876).

The spelling of 2142464 in words is "two million, one hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 8369 16738 33476 66952 133904 267808 535616 1071232 2142464