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260481960 = 23335437179
BaseRepresentation
bin11111000011010…
…10001110101000
3200011010212002000
433201222032220
51013140410320
641503011000
76312026424
oct1741521650
9604125060
10260481960
11124042a52
1273299a60
1341c7274b
1426847b84
1517d04c90
hexf86a3a8

260481960 has 256 divisors, whose sum is σ = 912384000. Its totient is φ = 66044160.

The previous prime is 260481959. The next prime is 260481989. The reversal of 260481960 is 69184062.

260481960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3297201 + ... + 3297279.

It is an arithmetic number, because the mean of its divisors is an integer number (3564000).

Almost surely, 2260481960 is an apocalyptic number.

260481960 is a gapful number since it is divisible by the number (20) 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 260481960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456192000).

260481960 is an abundant number, since it is smaller than the sum of its proper divisors (651902040).

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

260481960 is a wasteful number, since it uses less digits than its factorization.

260481960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 260481960 is about 16139.4535223470. The cubic root of 260481960 is about 638.6445597585.

The spelling of 260481960 in words is "two hundred sixty million, four hundred eighty-one thousand, nine hundred sixty".