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2142792 = 233229761
BaseRepresentation
bin1000001011001001001000
311000212100200
420023021020
51022032132
6113532200
724133131
oct10131110
94025320
102142792
111233a03
12874060
135a0432
143dac88
152c4d7c
hex20b248

2142792 has 24 divisors (see below), whose sum is σ = 5803590. Its totient is φ = 714240.

The previous prime is 2142773. The next prime is 2142793. The reversal of 2142792 is 2972412.

It can be written as a sum of positive squares in only one way, i.e., 2056356 + 86436 = 1434^2 + 294^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (2142793) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 14809 + ... + 14952.

22142792 is an apocalyptic number.

It is an amenable number.

2142792 is an abundant number, since it is smaller than the sum of its proper divisors (3660798).

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

2142792 is a wasteful number, since it uses less digits than its factorization.

2142792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29773 (or 29766 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2142792 is about 1463.8278587320. The cubic root of 2142792 is about 128.9218925039.

The spelling of 2142792 in words is "two million, one hundred forty-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29761 59522 89283 119044 178566 238088 267849 357132 535698 714264 1071396 2142792