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260085120 = 2735135461
BaseRepresentation
bin11111000000010…
…01010110000000
3200010101200201020
433200021112000
51013040210440
641450305440
76305454441
oct1740112600
9603350636
10260085120
111238a1889
1273128280
1341b63c29
14267832c8
1517c773d0
hexf809580

260085120 has 64 divisors (see below), whose sum is σ = 829027440. Its totient is φ = 69355520.

The previous prime is 260085103. The next prime is 260085139. The reversal of 260085120 is 21580062.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65811 + ... + 69650.

Almost surely, 2260085120 is an apocalyptic number.

260085120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260085120 is an abundant number, since it is smaller than the sum of its proper divisors (568942320).

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

260085120 is a wasteful number, since it uses less digits than its factorization.

260085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135483 (or 135471 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 260085120 is about 16127.1547397549. The cubic root of 260085120 is about 638.3200734103.

The spelling of 260085120 in words is "two hundred sixty million, eighty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 135461 270922 406383 541844 677305 812766 1083688 1354610 1625532 2031915 2167376 2709220 3251064 4063830 4334752 5418440 6502128 8127660 8669504 10836880 13004256 16255320 17339008 21673760 26008512 32510640 43347520 52017024 65021280 86695040 130042560 260085120