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2143296 = 2632612
BaseRepresentation
bin1000001011010001000000
311000220001100
420023101000
51022041141
6113534400
724134451
oct10132100
94026040
102143296
111234321
12874400
135a072c
143db128
152c50b6
hex20b440

2143296 has 63 divisors (see below), whose sum is σ = 6245733. Its totient is φ = 702720.

The previous prime is 2143279. The next prime is 2143313. The reversal of 2143296 is 6923412.

The square root of 2143296 is 1464.

It is a perfect power (a square), and thus also a powerful number.

2143296 is nontrivially palindromic in base 11.

2143296 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (2143279) and next prime (2143313).

It can be written as a sum of positive squares in only one way, i.e., 69696 + 2073600 = 264^2 + 1440^2 .

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

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 12.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35106 + ... + 35166.

22143296 is an apocalyptic number.

2143296 is the 1464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143296

2143296 is an abundant number, since it is smaller than the sum of its proper divisors (4102437).

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

2143296 is an equidigital number, since it uses as much as digits as its factorization.

2143296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 66 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The cubic root of 2143296 is about 128.9319994952.

It can be divided in two parts, 21432 and 96, that added together give a triangular number (21528 = T207).

The spelling of 2143296 in words is "two million, one hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1464 1952 2196 2928 3721 3904 4392 5856 7442 8784 11163 11712 14884 17568 22326 29768 33489 35136 44652 59536 66978 89304 119072 133956 178608 238144 267912 357216 535824 714432 1071648 2143296