Search a number
-
+
11404260 = 2233572431
BaseRepresentation
bin101011100000…
…001111100100
3210110101201000
4223200033210
510404414020
61044233300
7165635400
oct53401744
923411630
1011404260
11648a20a
12399b830
132493aaa
14172c100
151004090
hexae03e4

11404260 has 144 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 2600640.

The previous prime is 11404259. The next prime is 11404301. The reversal of 11404260 is 6240411.

11404260 is a `hidden beast` number, since 1 + 1 + 404 + 260 = 666.

It is a super-2 number, since 2×114042602 = 260114292295200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26245 + ... + 26675.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 211404260 is an apocalyptic number.

11404260 is a gapful number since it is divisible by the number (10) 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 11404260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

11404260 is an abundant number, since it is smaller than the sum of its proper divisors (29964060).

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

11404260 is a wasteful number, since it uses less digits than its factorization.

11404260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11404260 is about 3377.0193958578. The cubic root of 11404260 is about 225.0897419791.

Adding to 11404260 its reverse (6240411), we get a palindrome (17644671).

It can be divided in two parts, 11404 and 260, that added together give a square (11664 = 1082).

The spelling of 11404260 in words is "eleven million, four hundred four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 431 441 490 540 588 630 735 756 862 882 945 980 1260 1293 1323 1470 1724 1764 1890 2155 2205 2586 2646 2940 3017 3780 3879 4310 4410 5172 5292 6034 6465 6615 7758 8620 8820 9051 11637 12068 12930 13230 15085 15516 18102 19395 21119 23274 25860 26460 27153 30170 36204 38790 42238 45255 46548 54306 58185 60340 63357 77580 81459 84476 90510 105595 108612 116370 126714 135765 162918 181020 190071 211190 232740 253428 271530 316785 325836 380142 407295 422380 543060 570213 633570 760284 814590 950355 1140426 1267140 1629180 1900710 2280852 2851065 3801420 5702130 11404260