Search a number
-
+
260978850 = 232521124793
BaseRepresentation
bin11111000111000…
…11100010100010
3200012002002200100
433203203202202
51013302310400
641521403230
76316166166
oct1743434242
9605062610
10260978850
11124352300
1273499516
13420b7972
1426936ca6
1517da2100
hexf8e38a2

260978850 has 108 divisors (see below), whose sum is σ = 770860818. Its totient is φ = 63254400.

The previous prime is 260978843. The next prime is 260978897. The reversal of 260978850 is 58879062.

260978850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 233447841 + 27531009 = 15279^2 + 5247^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 260978796 and 260978805.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 52054 + ... + 56846.

Almost surely, 2260978850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260978850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385430409).

260978850 is an abundant number, since it is smaller than the sum of its proper divisors (509881968).

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

260978850 is a wasteful number, since it uses less digits than its factorization.

260978850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 260978850 is about 16154.8398320751. The cubic root of 260978850 is about 639.0503902014.

The spelling of 260978850 in words is "two hundred sixty million, nine hundred seventy-eight thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 121 150 165 198 225 242 275 330 363 450 495 550 605 726 825 990 1089 1210 1650 1815 2178 2475 3025 3630 4793 4950 5445 6050 9075 9586 10890 14379 18150 23965 27225 28758 43137 47930 52723 54450 71895 86274 105446 119825 143790 158169 215685 239650 263615 316338 359475 431370 474507 527230 579953 718950 790845 949014 1078425 1159906 1318075 1581690 1739859 2156850 2372535 2636150 2899765 3479718 3954225 4745070 5219577 5799530 7908450 8699295 10439154 11862675 14498825 17398590 23725350 26097885 28997650 43496475 52195770 86992950 130489425 260978850