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261161560 = 23511253959
BaseRepresentation
bin11111001000100…
…00001001011000
3200012102101022101
433210100021120
51013324132220
641525333144
76320556652
oct1744201130
9605371271
10261161560
11124467600
12735671b4
134214cb8a
14269836d2
1517ddb30a
hexf910258

261161560 has 48 divisors (see below), whose sum is σ = 645901200. Its totient is φ = 94966080.

The previous prime is 261161543. The next prime is 261161567. The reversal of 261161560 is 65161162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261161567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22140 + ... + 31819.

It is an arithmetic number, because the mean of its divisors is an integer number (13456275).

Almost surely, 2261161560 is an apocalyptic number.

261161560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261161560 is an abundant number, since it is smaller than the sum of its proper divisors (384739640).

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

261161560 is a wasteful number, since it uses less digits than its factorization.

261161560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53992 (or 53977 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 261161560 is about 16160.4938043365. The cubic root of 261161560 is about 639.1994874168.

The spelling of 261161560 in words is "two hundred sixty-one million, one hundred sixty-one thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 53959 107918 215836 269795 431672 539590 593549 1079180 1187098 2158360 2374196 2967745 4748392 5935490 6529039 11870980 13058078 23741960 26116156 32645195 52232312 65290390 130580780 261161560