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261422340 = 2235101179241
BaseRepresentation
bin11111001010011…
…11110100000100
3200012220122000220
433211033310010
51013411003330
641535104340
76323024154
oct1745176404
9605818026
10261422340
11124625523
12736720b0
134221179a
1426a10764
1517e3d710
hexf94fd04

261422340 has 96 divisors (see below), whose sum is σ = 746444160. Its totient is φ = 68352000.

The previous prime is 261422309. The next prime is 261422377. The reversal of 261422340 is 43224162.

It is a self number, because there is not a number n which added to its sum of digits gives 261422340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1084620 + ... + 1084860.

It is an arithmetic number, because the mean of its divisors is an integer number (7775460).

Almost surely, 2261422340 is an apocalyptic number.

261422340 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 261422340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373222080).

261422340 is an abundant number, since it is smaller than the sum of its proper divisors (485021820).

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

261422340 is a wasteful number, since it uses less digits than its factorization.

261422340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 261422340 is about 16168.5602327480. The cubic root of 261422340 is about 639.4121718446.

It can be divided in two parts, 26142 and 2340, that added together give a palindrome (28482).

The spelling of 261422340 in words is "two hundred sixty-one million, four hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 179 202 241 303 358 404 482 505 537 606 716 723 895 964 1010 1074 1205 1212 1446 1515 1790 2020 2148 2410 2685 2892 3030 3580 3615 4820 5370 6060 7230 10740 14460 18079 24341 36158 43139 48682 54237 72316 73023 86278 90395 97364 108474 121705 129417 146046 172556 180790 215695 216948 243410 258834 271185 292092 361580 365115 431390 486820 517668 542370 647085 730230 862780 1084740 1294170 1460460 2588340 4357039 8714078 13071117 17428156 21785195 26142234 43570390 52284468 65355585 87140780 130711170 261422340