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260952160 = 25571511543
BaseRepresentation
bin11111000110111…
…01000001100000
3200012000202001211
433203131001200
51013300432120
641521035504
76316025320
oct1743350140
9605022054
10260952160
11124334247
1273485b94
13420a8781
142692b280
1517d9925a
hexf8dd060

260952160 has 96 divisors (see below), whose sum is σ = 709696512. Its totient is φ = 88819200.

The previous prime is 260952119. The next prime is 260952161. The reversal of 260952160 is 61259062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260952161) 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 15 ways as a sum of consecutive naturals, for example, 168349 + ... + 169891.

It is an arithmetic number, because the mean of its divisors is an integer number (7392672).

Almost surely, 2260952160 is an apocalyptic number.

260952160 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 260952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354848256).

260952160 is an abundant number, since it is smaller than the sum of its proper divisors (448744352).

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

260952160 is a wasteful number, since it uses less digits than its factorization.

260952160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 260952160 is about 16154.0137427204. The cubic root of 260952160 is about 639.0286044815.

The spelling of 260952160 in words is "two hundred sixty million, nine hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 151 160 224 280 302 560 604 755 1057 1120 1208 1510 1543 2114 2416 3020 3086 4228 4832 5285 6040 6172 7715 8456 10570 10801 12080 12344 15430 16912 21140 21602 24160 24688 30860 33824 42280 43204 49376 54005 61720 84560 86408 108010 123440 169120 172816 216020 232993 246880 345632 432040 465986 864080 931972 1164965 1630951 1728160 1863944 2329930 3261902 3727888 4659860 6523804 7455776 8154755 9319720 13047608 16309510 18639440 26095216 32619020 37278880 52190432 65238040 130476080 260952160