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11271204 = 2233717877
BaseRepresentation
bin101010111111…
…110000100100
3210012122012000
4222333300210
510341134304
61041325300
7164542440
oct52776044
923178160
1011271204
1163a924a
123936830
132448369
1416d5820
15ec9939
hexabfc24

11271204 has 96 divisors (see below), whose sum is σ = 35400960. Its totient is φ = 3027456.

The previous prime is 11271193. The next prime is 11271223. The reversal of 11271204 is 40217211.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12414 + ... + 13290.

It is an arithmetic number, because the mean of its divisors is an integer number (368760).

Almost surely, 211271204 is an apocalyptic number.

11271204 is a gapful number since it is divisible by the number (14) 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 11271204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17700480).

11271204 is an abundant number, since it is smaller than the sum of its proper divisors (24129756).

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

11271204 is a wasteful number, since it uses less digits than its factorization.

11271204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 11271204 is about 3357.2613839259. The cubic root of 11271204 is about 224.2109248367.

Adding to 11271204 its reverse (40217211), we get a palindrome (51488415).

The spelling of 11271204 in words is "eleven million, two hundred seventy-one thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 877 918 1071 1428 1754 1836 2142 2631 3213 3508 4284 5262 6139 6426 7893 10524 12278 12852 14909 15786 18417 23679 24556 29818 31572 36834 44727 47358 55251 59636 73668 89454 94716 104363 110502 134181 165753 178908 208726 221004 268362 313089 331506 402543 417452 536724 626178 663012 805086 939267 1252356 1610172 1878534 2817801 3757068 5635602 11271204