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260412660 = 223253761641
BaseRepresentation
bin11111000010110…
…01010011110100
3200011000100000100
433201121103310
51013131201120
641501314100
76311320404
oct1741312364
9604010010
10260412660
11123aa5982
1273265930
1341c4a041
142682a804
1517cde490
hexf8594f4

260412660 has 144 divisors (see below), whose sum is σ = 825853392. Its totient is φ = 66355200.

The previous prime is 260412653. The next prime is 260412671. The reversal of 260412660 is 66214062.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2039184 + 258373476 = 1428^2 + 16074^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405940 + ... + 406580.

It is an arithmetic number, because the mean of its divisors is an integer number (5735093).

Almost surely, 2260412660 is an apocalyptic number.

260412660 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 260412660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412926696).

260412660 is an abundant number, since it is smaller than the sum of its proper divisors (565440732).

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

260412660 is a wasteful number, since it uses less digits than its factorization.

260412660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 260412660 is about 16137.3064666939. The cubic root of 260412660 is about 638.5879186083.

The spelling of 260412660 in words is "two hundred sixty million, four hundred twelve thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 61 74 90 111 122 148 180 183 185 222 244 305 333 366 370 444 549 555 610 641 666 732 740 915 1098 1110 1220 1282 1332 1665 1830 1923 2196 2220 2257 2564 2745 3205 3330 3660 3846 4514 5490 5769 6410 6660 6771 7692 9028 9615 10980 11285 11538 12820 13542 19230 20313 22570 23076 23717 27084 28845 33855 38460 39101 40626 45140 47434 57690 67710 71151 78202 81252 94868 101565 115380 117303 118585 135420 142302 156404 195505 203130 213453 234606 237170 284604 351909 355755 391010 406260 426906 469212 474340 586515 703818 711510 782020 853812 1067265 1173030 1407636 1423020 1446737 1759545 2134530 2346060 2893474 3519090 4269060 4340211 5786948 7038180 7233685 8680422 13020633 14467370 17360844 21701055 26041266 28934740 43402110 52082532 65103165 86804220 130206330 260412660