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260970248 = 237114110333
BaseRepresentation
bin11111000111000…
…01011100001000
3200012001122212202
433203201130020
51013302021443
641521255332
76316132130
oct1743413410
9605048782
10260970248
111243468a0
1273494548
13420b3a86
1426933ac0
1517d9e7b8
hexf8e1708

260970248 has 64 divisors (see below), whose sum is σ = 625000320. Its totient is φ = 99187200.

The previous prime is 260970233. The next prime is 260970253. The reversal of 260970248 is 842079062.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20090 + ... + 30422.

It is an arithmetic number, because the mean of its divisors is an integer number (9765630).

Almost surely, 2260970248 is an apocalyptic number.

260970248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260970248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312500160).

260970248 is an abundant number, since it is smaller than the sum of its proper divisors (364030072).

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

260970248 is a wasteful number, since it uses less digits than its factorization.

260970248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10398 (or 10394 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 260970248 is about 16154.5735938774. The cubic root of 260970248 is about 639.0433689787.

The spelling of 260970248 in words is "two hundred sixty million, nine hundred seventy thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 41 44 56 77 82 88 154 164 287 308 328 451 574 616 902 1148 1804 2296 3157 3608 6314 10333 12628 20666 25256 41332 72331 82664 113663 144662 227326 289324 423653 454652 578648 795641 847306 909304 1591282 1694612 2965571 3182564 3389224 4660183 5931142 6365128 9320366 11862284 18640732 23724568 32621281 37281464 65242562 130485124 260970248