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260680 = 2357319
BaseRepresentation
bin111111101001001000
3111020120211
4333221020
531320210
65330504
72134000
oct775110
9436524
10260680
11168942
12106a34
1391864
146b000
155238a
hex3fa48

260680 has 64 divisors (see below), whose sum is σ = 720000. Its totient is φ = 84672.

The previous prime is 260677. The next prime is 260713. The reversal of 260680 is 86062.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13711 + ... + 13729.

It is an arithmetic number, because the mean of its divisors is an integer number (11250).

2260680 is an apocalyptic number.

260680 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 260680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360000).

260680 is an abundant number, since it is smaller than the sum of its proper divisors (459320).

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

260680 is a wasteful number, since it uses less digits than its factorization.

260680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 260680 is about 510.5683108067. The cubic root of 260680 is about 63.8806368954.

The spelling of 260680 in words is "two hundred sixty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 343 380 392 490 532 665 686 760 931 980 1064 1330 1372 1715 1862 1960 2660 2744 3430 3724 4655 5320 6517 6860 7448 9310 13034 13720 18620 26068 32585 37240 52136 65170 130340 260680