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11204340 = 22357237103
BaseRepresentation
bin101010101111…
…011011110100
3210002020110120
4222233123310
510332014330
61040051540
7164143500
oct52573364
923066416
1011204340
116362a94
123903bb0
132423ab4
1416b9300
15eb4c10
hexaaf6f4

11204340 has 144 divisors (see below), whose sum is σ = 37844352. Its totient is φ = 2467584.

The previous prime is 11204339. The next prime is 11204363. The reversal of 11204340 is 4340211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108729 + ... + 108831.

It is an arithmetic number, because the mean of its divisors is an integer number (262808).

Almost surely, 211204340 is an apocalyptic number.

11204340 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 11204340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18922176).

11204340 is an abundant number, since it is smaller than the sum of its proper divisors (26640012).

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

11204340 is a wasteful number, since it uses less digits than its factorization.

11204340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 11204340 is about 3347.2884548542. The cubic root of 11204340 is about 223.7666841486.

Adding to 11204340 its reverse (4340211), we get a palindrome (15544551).

It can be divided in two parts, 1120 and 4340, that added together give a triangular number (5460 = T104).

The spelling of 11204340 in words is "eleven million, two hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 49 60 70 74 84 98 103 105 111 140 147 148 185 196 206 210 222 245 259 294 309 370 412 420 444 490 515 518 555 588 618 721 735 740 777 980 1030 1036 1110 1236 1295 1442 1470 1545 1554 1813 2060 2163 2220 2590 2884 2940 3090 3108 3605 3626 3811 3885 4326 5047 5180 5439 6180 7210 7252 7622 7770 8652 9065 10094 10815 10878 11433 14420 15141 15244 15540 18130 19055 20188 21630 21756 22866 25235 26677 27195 30282 36260 38110 43260 45732 50470 53354 54390 57165 60564 75705 76220 80031 100940 106708 108780 114330 133385 151410 160062 186739 228660 266770 302820 320124 373478 400155 533540 560217 746956 800310 933695 1120434 1600620 1867390 2240868 2801085 3734780 5602170 11204340