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260030960 = 24571924439
BaseRepresentation
bin11110111111111…
…00000111110000
3200010021221102022
433133330013300
51013031442320
641445211012
76305140520
oct1737740760
9603257368
10260030960
11123865122
1273100a68
1341b45397
142676b680
1517c66325
hexf7fc1f0

260030960 has 80 divisors (see below), whose sum is σ = 727334400. Its totient is φ = 84457728.

The previous prime is 260030959. The next prime is 260030971. The reversal of 260030960 is 69030062.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2600309602 = 135232200317043200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1580 + ... + 22859.

It is an arithmetic number, because the mean of its divisors is an integer number (9091680).

Almost surely, 2260030960 is an apocalyptic number.

260030960 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 260030960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363667200).

260030960 is an abundant number, since it is smaller than the sum of its proper divisors (467303440).

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

260030960 is a wasteful number, since it uses less digits than its factorization.

260030960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24478 (or 24472 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 260030960 is about 16125.4754968652. The cubic root of 260030960 is about 638.2757625130.

The spelling of 260030960 in words is "two hundred sixty million, thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 24439 48878 97756 122195 171073 195512 244390 342146 391024 464341 488780 684292 855365 928682 977560 1368584 1710730 1857364 1955120 2321705 2737168 3250387 3421460 3714728 4643410 6500774 6842920 7429456 9286820 13001548 13685840 16251935 18573640 26003096 32503870 37147280 52006192 65007740 130015480 260030960