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260144641 = 1274
BaseRepresentation
bin11111000000101…
…11111000000001
3200010111201100201
433200113320001
51013044112031
641451445201
76306123121
oct1740277001
9603451321
10260144641
11123932579
1273156801
1341b85053
142679ac81
1517c89d61
hexf817e01

260144641 has 5 divisors (see below), whose sum is σ = 262209281. Its totient is φ = 258096258.

The previous prime is 260144627. The next prime is 260144663. The reversal of 260144641 is 146441062.

The square root of 260144641 is 16129.

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

It is not a de Polignac number, because 260144641 - 211 = 260142593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (260144611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 2048320 + ... + 2048446.

Almost surely, 2260144641 is an apocalyptic number.

260144641 is the 16129-th square number.

260144641 is the 8065-th centered octagonal number.

It is an amenable number.

260144641 is a deficient number, since it is larger than the sum of its proper divisors (2064640).

260144641 is an frugal number, since it uses more digits than its factorization.

260144641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The cubic root of 260144641 is about 638.3687633048.

The spelling of 260144641 in words is "two hundred sixty million, one hundred forty-four thousand, six hundred forty-one".

Divisors: 1 127 16129 2048383 260144641