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260398944 = 253213157443
BaseRepresentation
bin11111000010101…
…01111101100000
3200010222122012100
433201111331200
51013130231234
641501130400
76311232411
oct1741257540
9603878170
10260398944
11123a96643
1273259a00
1341c43a20
1426825808
1517cda399
hexf855f60

260398944 has 144 divisors (see below), whose sum is σ = 804362832. Its totient is φ = 79432704.

The previous prime is 260398937. The next prime is 260398949. The reversal of 260398944 is 449893062.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2603989442 = 135615220072630272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 260398944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260398949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 587587 + ... + 588029.

It is an arithmetic number, because the mean of its divisors is an integer number (5585853).

Almost surely, 2260398944 is an apocalyptic number.

260398944 is a gapful number since it is divisible by the number (24) 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 260398944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402181416).

260398944 is an abundant number, since it is smaller than the sum of its proper divisors (543963888).

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

260398944 is a wasteful number, since it uses less digits than its factorization.

260398944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 260398944 is about 16136.8814831119. The cubic root of 260398944 is about 638.5767068829.

The spelling of 260398944 in words is "two hundred sixty million, three hundred ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 157 208 234 288 312 314 416 443 468 471 624 628 886 936 942 1248 1256 1329 1413 1772 1872 1884 2041 2512 2658 2826 3544 3744 3768 3987 4082 5024 5316 5652 5759 6123 7088 7536 7974 8164 10632 11304 11518 12246 14176 15072 15948 16328 17277 18369 21264 22608 23036 24492 31896 32656 34554 36738 42528 45216 46072 48984 51831 63792 65312 69108 69551 73476 92144 97968 103662 127584 138216 139102 146952 184288 195936 207324 208653 276432 278204 293904 414648 417306 552864 556408 587808 625959 829296 834612 904163 1112816 1251918 1658592 1669224 1808326 2225632 2503836 2712489 3338448 3616652 5007672 5424978 6676896 7233304 8137467 10015344 10849956 14466608 16274934 20030688 21699912 28933216 32549868 43399824 65099736 86799648 130199472 260398944