Search a number
-
+
260335040 = 2657216603
BaseRepresentation
bin11111000010001…
…10010111000000
3200010212101112112
433201012113000
51013121210130
641455514452
76310545200
oct1741062700
9603771475
10260335040
11123a52629
1273228a28
1341c20904
142680a400
1517cc6495
hexf8465c0

260335040 has 84 divisors (see below), whose sum is σ = 721178136. Its totient is φ = 89252352.

The previous prime is 260335039. The next prime is 260335043. The reversal of 260335040 is 40533062.

It is a junction number, because it is equal to n+sod(n) for n = 260334997 and 260335015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260335043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7379 + ... + 23981.

It is an arithmetic number, because the mean of its divisors is an integer number (8585454).

Almost surely, 2260335040 is an apocalyptic number.

260335040 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 260335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360589068).

260335040 is an abundant number, since it is smaller than the sum of its proper divisors (460843096).

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

260335040 is a wasteful number, since it uses less digits than its factorization.

260335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16634 (or 16617 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 260335040 is about 16134.9013012166. The cubic root of 260335040 is about 638.5244653186.

The spelling of 260335040 in words is "two hundred sixty million, three hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7840 15680 16603 33206 66412 83015 116221 132824 166030 232442 265648 332060 464884 531296 581105 664120 813547 929768 1062592 1162210 1328240 1627094 1859536 2324420 2656480 3254188 3719072 4067735 4648840 5312960 6508376 7438144 8135470 9297680 13016752 16270940 18595360 26033504 32541880 37190720 52067008 65083760 130167520 260335040