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260378001 = 3213171091201
BaseRepresentation
bin11111000010100…
…00110110010001
3200010221120110200
433201100312101
51013124044001
641500445413
76311114352
oct1741206621
9603846420
10260378001
11123a81934
1273249869
1341c37330
142681bd29
1517cd4086
hexf850d91

260378001 has 48 divisors (see below), whose sum is σ = 433152720. Its totient is φ = 149299200.

The previous prime is 260377987. The next prime is 260378039. The reversal of 260378001 is 100873062.

It can be written as a sum of positive squares in 8 ways, for example, as 25553025 + 234824976 = 5055^2 + 15324^2 .

It is not a de Polignac number, because 260378001 - 25 = 260377969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (260370001) 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 47 ways as a sum of consecutive naturals, for example, 216201 + ... + 217401.

It is an arithmetic number, because the mean of its divisors is an integer number (9024015).

Almost surely, 2260378001 is an apocalyptic number.

It is an amenable number.

260378001 is a deficient number, since it is larger than the sum of its proper divisors (172774719).

260378001 is a wasteful number, since it uses less digits than its factorization.

260378001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1343 counting only the distinct ones).

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

The square root of 260378001 is about 16136.2325528607. The cubic root of 260378001 is about 638.5595869075.

The spelling of 260378001 in words is "two hundred sixty million, three hundred seventy-eight thousand, one".

Divisors: 1 3 9 13 17 39 51 109 117 153 221 327 663 981 1201 1417 1853 1989 3603 4251 5559 10809 12753 15613 16677 20417 24089 46839 61251 72267 130909 140517 183753 216801 265421 392727 796263 1178181 1701817 2225453 2388789 5105451 6676359 15316353 20029077 28930889 86792667 260378001