Search a number
-
+
3260880 = 243257647
BaseRepresentation
bin1100011100000111010000
320010200002100
430130013100
51313322010
6153520400
736500640
oct14340720
96120070
103260880
111927a47
121113100
138a231c
1460c520
154462c0
hex31c1d0

3260880 has 120 divisors (see below), whose sum is σ = 12534912. Its totient is φ = 744192.

The previous prime is 3260879. The next prime is 3260891. The reversal of 3260880 is 880623.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4717 + ... + 5363.

Almost surely, 23260880 is an apocalyptic number.

3260880 is a gapful number since it is divisible by the number (30) 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 3260880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267456).

3260880 is an abundant number, since it is smaller than the sum of its proper divisors (9274032).

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

3260880 is a wasteful number, since it uses less digits than its factorization.

3260880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3260880 is about 1805.7906855447. The cubic root of 3260880 is about 148.2899114020.

The spelling of 3260880 in words is "three million, two hundred sixty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 647 720 840 1008 1260 1294 1680 1941 2520 2588 3235 3882 4529 5040 5176 5823 6470 7764 9058 9705 10352 11646 12940 13587 15528 18116 19410 22645 23292 25880 27174 29115 31056 36232 38820 40761 45290 46584 51760 54348 58230 67935 72464 77640 81522 90580 93168 108696 116460 135870 155280 163044 181160 203805 217392 232920 271740 326088 362320 407610 465840 543480 652176 815220 1086960 1630440 3260880