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260159680 = 2651126719
BaseRepresentation
bin11111000000110…
…11100011000000
3200010112110222201
433200123203000
51013100102210
641452042544
76306215014
oct1740334300
9603473881
10260159680
11123942900
1273163454
1341b8bb51
14267a2544
1517c8e53a
hexf81b8c0

260159680 has 84 divisors (see below), whose sum is σ = 681045120. Its totient is φ = 94589440.

The previous prime is 260159671. The next prime is 260159701. The reversal of 260159680 is 86951062.

260159680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35361 + ... + 42079.

It is an arithmetic number, because the mean of its divisors is an integer number (8107680).

Almost surely, 2260159680 is an apocalyptic number.

260159680 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 260159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340522560).

260159680 is an abundant number, since it is smaller than the sum of its proper divisors (420885440).

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

260159680 is a wasteful number, since it uses less digits than its factorization.

260159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 260159680 is about 16129.4662031947. The cubic root of 260159680 is about 638.3810644652.

The spelling of 260159680 in words is "two hundred sixty million, one hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3520 3872 4840 6719 7744 9680 13438 19360 26876 33595 38720 53752 67190 73909 107504 134380 147818 215008 268760 295636 369545 430016 537520 591272 739090 812999 1075040 1182544 1478180 1625998 2150080 2365088 2956360 3251996 4064995 4730176 5912720 6503992 8129990 11825440 13007984 16259980 23650880 26015968 32519960 52031936 65039920 130079840 260159680