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260838240 = 25351341801
BaseRepresentation
bin11111000110000…
…01001101100000
3200011210221210120
433203001031200
51013233310430
641514400240
76315042225
oct1743011540
9604727716
10260838240
111242666a3
1273430080
1342068970
14268db94c
1517d75610
hexf8c1360

260838240 has 96 divisors (see below), whose sum is σ = 884864736. Its totient is φ = 64204800.

The previous prime is 260838229. The next prime is 260838241. The reversal of 260838240 is 42838062.

260838240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260838241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14661 + ... + 27140.

It is an arithmetic number, because the mean of its divisors is an integer number (9217341).

Almost surely, 2260838240 is an apocalyptic number.

260838240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260838240 is an abundant number, since it is smaller than the sum of its proper divisors (624026496).

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

260838240 is a wasteful number, since it uses less digits than its factorization.

260838240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41832 (or 41824 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 260838240 is about 16150.4872991498. The cubic root of 260838240 is about 638.9356005446.

The spelling of 260838240 in words is "two hundred sixty million, eight hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 41801 83602 125403 167204 209005 250806 334408 418010 501612 543413 627015 668816 836020 1003224 1086826 1254030 1337632 1630239 1672040 2006448 2173652 2508060 2717065 3260478 3344080 4012896 4347304 5016120 5434130 6520956 6688160 8151195 8694608 10032240 10868260 13041912 16302390 17389216 20064480 21736520 26083824 32604780 43473040 52167648 65209560 86946080 130419120 260838240