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261270401 = 725332049
BaseRepresentation
bin11111001001010…
…10101110000001
3200012121220121112
433210222232001
51013341123101
641531533105
76321522200
oct1744525601
9605556545
10261270401
11124531357
12735ba195
134218a592
14269b1237
1517e0d6bb
hexf92ab81

261270401 has 6 divisors (see below), whose sum is σ = 303926850. Its totient is φ = 223946016.

The previous prime is 261270397. The next prime is 261270413. The reversal of 261270401 is 104072162.

261270401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 225030001 + 36240400 = 15001^2 + 6020^2 .

It is not a de Polignac number, because 261270401 - 22 = 261270397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (261270421) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2665976 + ... + 2666073.

It is an arithmetic number, because the mean of its divisors is an integer number (50654475).

Almost surely, 2261270401 is an apocalyptic number.

It is an amenable number.

261270401 is a deficient number, since it is larger than the sum of its proper divisors (42656449).

261270401 is an equidigital number, since it uses as much as digits as its factorization.

261270401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5332063 (or 5332056 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 261270401 is about 16163.8609558484. The cubic root of 261270401 is about 639.2882721125.

The spelling of 261270401 in words is "two hundred sixty-one million, two hundred seventy thousand, four hundred one".

Divisors: 1 7 49 5332049 37324343 261270401