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260570080 = 2553794297
BaseRepresentation
bin11111000011111…
…11101111100000
3200011022022221201
433201333233200
51013201220310
641504530544
76312544351
oct1741775740
9604268851
10260570080
111240a3181
1273320a54
1341ca38a4
142686bd28
1517d20e3a
hexf87fbe0

260570080 has 48 divisors (see below), whose sum is σ = 617364720. Its totient is φ = 103928832.

The previous prime is 260570077. The next prime is 260570081. The reversal of 260570080 is 80075062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260570081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58492 + ... + 62788.

It is an arithmetic number, because the mean of its divisors is an integer number (12861765).

Almost surely, 2260570080 is an apocalyptic number.

260570080 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 260570080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308682360).

260570080 is an abundant number, since it is smaller than the sum of its proper divisors (356794640).

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

260570080 is a wasteful number, since it uses less digits than its factorization.

260570080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 260570080 is about 16142.1832476279. The cubic root of 260570080 is about 638.7165686014.

The spelling of 260570080 in words is "two hundred sixty million, five hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 379 758 1516 1895 3032 3790 4297 6064 7580 8594 12128 15160 17188 21485 30320 34376 42970 60640 68752 85940 137504 171880 343760 687520 1628563 3257126 6514252 8142815 13028504 16285630 26057008 32571260 52114016 65142520 130285040 260570080