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11234580 = 22357231163
BaseRepresentation
bin101010110110…
…110100010100
3210010202221120
4222312310110
510334001310
61040443540
7164330610
oct52666424
923122846
1011234580
116383785
1239195b0
1324347a6
1416c6340
15ebdb70
hexab6d14

11234580 has 96 divisors (see below), whose sum is σ = 37545984. Its totient is φ = 2454144.

The previous prime is 11234579. The next prime is 11234581. The reversal of 11234580 is 8543211.

11234580 is digitally balanced in base 2, because in such base 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 (11234579) and next prime (11234581).

It is a self number, because there is not a number n which added to its sum of digits gives 11234580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11234581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9079 + ... + 10241.

It is an arithmetic number, because the mean of its divisors is an integer number (391104).

Almost surely, 211234580 is an apocalyptic number.

11234580 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 11234580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18772992).

11234580 is an abundant number, since it is smaller than the sum of its proper divisors (26311404).

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

11234580 is a wasteful number, since it uses less digits than its factorization.

11234580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 11234580 is about 3351.8025001482. The cubic root of 11234580 is about 223.9678153164.

Adding to 11234580 its reverse (8543211), we get a palindrome (19777791).

The spelling of 11234580 in words is "eleven million, two hundred thirty-four thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1163 1380 1610 1932 2326 2415 3220 3489 4652 4830 5815 6978 8141 9660 11630 13956 16282 17445 23260 24423 26749 32564 34890 40705 48846 53498 69780 80247 81410 97692 106996 122115 133745 160494 162820 187243 244230 267490 320988 374486 401235 488460 534980 561729 748972 802470 936215 1123458 1604940 1872430 2246916 2808645 3744860 5617290 11234580