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260315040 = 2535542323
BaseRepresentation
bin11111000010000…
…01011110100000
3200010211101002210
433201001132200
51013120040130
641455242120
76310432656
oct1741013640
9603741083
10260315040
11123a395a7
1273219340
1341c1478b
1426802dd6
1517cc05b0
hexf8417a0

260315040 has 48 divisors (see below), whose sum is σ = 819993888. Its totient is φ = 69417216.

The previous prime is 260315023. The next prime is 260315047. The reversal of 260315040 is 40513062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 260314998 and 260315016.

It is not an unprimeable number, because it can be changed into a prime (260315047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270682 + ... + 271641.

It is an arithmetic number, because the mean of its divisors is an integer number (17083206).

Almost surely, 2260315040 is an apocalyptic number.

260315040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260315040 is an abundant number, since it is smaller than the sum of its proper divisors (559678848).

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

260315040 is a wasteful number, since it uses less digits than its factorization.

260315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542341 (or 542333 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 260315040 is about 16134.2815148367. The cubic root of 260315040 is about 638.5081135483.

The spelling of 260315040 in words is "two hundred sixty million, three hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 542323 1084646 1626969 2169292 2711615 3253938 4338584 5423230 6507876 8134845 8677168 10846460 13015752 16269690 17354336 21692920 26031504 32539380 43385840 52063008 65078760 86771680 130157520 260315040