Search a number
-
+
11345460 = 22357217227
BaseRepresentation
bin101011010001…
…111000110100
3210100102001020
4223101320310
510401023320
61043101140
7165302100
oct53217064
923312036
1011345460
11644a015
1239717b0
1324730b9
141714900
15ee1940
hexad1e34

11345460 has 144 divisors (see below), whose sum is σ = 39299904. Its totient is φ = 2429952.

The previous prime is 11345459. The next prime is 11345461. The reversal of 11345460 is 6454311.

11345460 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11345459) and next prime (11345461).

It is a super-2 number, since 2×113454602 = 257438925223200, which contains 22 as substring.

11345460 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 11345460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11345461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49867 + ... + 50093.

It is an arithmetic number, because the mean of its divisors is an integer number (272916).

Almost surely, 211345460 is an apocalyptic number.

11345460 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 11345460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19649952).

11345460 is an abundant number, since it is smaller than the sum of its proper divisors (27954444).

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

11345460 is a wasteful number, since it uses less digits than its factorization.

11345460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 11345460 is about 3368.3022429705. The cubic root of 11345460 is about 224.7022233648.

Adding to 11345460 its reverse (6454311), we get a palindrome (17799771).

The spelling of 11345460 in words is "eleven million, three hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 227 238 245 255 294 340 357 420 454 476 490 510 588 595 681 714 735 833 908 980 1020 1135 1190 1362 1428 1470 1589 1666 1785 2270 2380 2499 2724 2940 3178 3332 3405 3570 3859 4165 4540 4767 4998 6356 6810 7140 7718 7945 8330 9534 9996 11123 11577 12495 13620 15436 15890 16660 19068 19295 22246 23154 23835 24990 27013 31780 33369 38590 44492 46308 47670 49980 54026 55615 57885 66738 77180 81039 95340 108052 111230 115770 133476 135065 162078 166845 189091 222460 231540 270130 324156 333690 378182 405195 540260 567273 667380 756364 810390 945455 1134546 1620780 1890910 2269092 2836365 3781820 5672730 11345460