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2142264 = 23389261
BaseRepresentation
bin1000001011000000111000
311000211122010
420023000320
51022023024
6113525520
724131445
oct10130070
94024563
102142264
111233573
128738a0
135a0117
143da9cc
152c4b29
hex20b038

2142264 has 16 divisors (see below), whose sum is σ = 5355720. Its totient is φ = 714080.

The previous prime is 2142253. The next prime is 2142271. The reversal of 2142264 is 4622412.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2142264.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 44607 + ... + 44654.

22142264 is an apocalyptic number.

2142264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142264 is an abundant number, since it is smaller than the sum of its proper divisors (3213456).

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

2142264 is a wasteful number, since it uses less digits than its factorization.

2142264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89270 (or 89266 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 2142264 is about 1463.6474985460. The cubic root of 2142264 is about 128.9113025274.

Adding to 2142264 its reverse (4622412), we get a palindrome (6764676).

The spelling of 2142264 in words is "two million, one hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 89261 178522 267783 357044 535566 714088 1071132 2142264