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260430240 = 2535777509
BaseRepresentation
bin11111000010111…
…01100110100000
3200011001020010110
433201131212200
51013132231430
641501531320
76311422560
oct1741354640
9604036113
10260430240
11124008104
1273273b40
1341c55045
1426832da0
1517ce47b0
hexf85d9a0

260430240 has 96 divisors (see below), whose sum is σ = 937560960. Its totient is φ = 59526144.

The previous prime is 260430223. The next prime is 260430241. The reversal of 260430240 is 42034062.

260430240 is digitally balanced in base 2, 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 Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (260430241) 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, 35395 + ... + 42114.

It is an arithmetic number, because the mean of its divisors is an integer number (9766260).

Almost surely, 2260430240 is an apocalyptic number.

260430240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260430240 is an abundant number, since it is smaller than the sum of its proper divisors (677130720).

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

260430240 is a wasteful number, since it uses less digits than its factorization.

260430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77534 (or 77526 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 260430240 is about 16137.8511580693. The cubic root of 260430240 is about 638.6022882668.

The spelling of 260430240 in words is "two hundred sixty million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 77509 155018 232527 310036 387545 465054 542563 620072 775090 930108 1085126 1162635 1240144 1550180 1627689 1860216 2170252 2325270 2480288 2712815 3100360 3255378 3720432 4340504 4650540 5425630 6200720 6510756 7440864 8138445 8681008 9301080 10851260 12401440 13021512 16276890 17362016 18602160 21702520 26043024 32553780 37204320 43405040 52086048 65107560 86810080 130215120 260430240