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11292204 = 2237113101
BaseRepresentation
bin101011000100…
…111000101100
3210020200222210
4223010320230
510342322304
61042010420
7164660610
oct53047054
923220883
1011292204
116413000
123946a10
132454aa1
1416dd340
15ed0c89
hexac4e2c

11292204 has 96 divisors (see below), whose sum is σ = 33449472. Its totient is φ = 2904000.

The previous prime is 11292191. The next prime is 11292227. The reversal of 11292204 is 40229211.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 111754 + ... + 111854.

It is an arithmetic number, because the mean of its divisors is an integer number (348432).

Almost surely, 211292204 is an apocalyptic number.

11292204 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 11292204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16724736).

11292204 is an abundant number, since it is smaller than the sum of its proper divisors (22157268).

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

11292204 is a wasteful number, since it uses less digits than its factorization.

11292204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11292204 is about 3360.3874776579. The cubic root of 11292204 is about 224.3500850147.

It can be divided in two parts, 1129 and 2204, that added together give a palindrome (3333).

The spelling of 11292204 in words is "eleven million, two hundred ninety-two thousand, two hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 121 132 154 202 231 242 303 308 363 404 462 484 606 707 726 847 924 1111 1212 1331 1414 1452 1694 2121 2222 2541 2662 2828 3333 3388 3993 4242 4444 5082 5324 6666 7777 7986 8484 9317 10164 12221 13332 15554 15972 18634 23331 24442 27951 31108 36663 37268 46662 48884 55902 73326 85547 93324 111804 134431 146652 171094 256641 268862 342188 403293 513282 537724 806586 941017 1026564 1613172 1882034 2823051 3764068 5646102 11292204