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11204160 = 2635111061
BaseRepresentation
bin101010101111…
…011001000000
3210002020012220
4222233121000
510332013120
61040051040
7164143122
oct52573100
923066186
1011204160
116362940
123903a80
1324239a6
1416b9212
15eb4b40
hexaaf640

11204160 has 112 divisors (see below), whose sum is σ = 38843712. Its totient is φ = 2713600.

The previous prime is 11204117. The next prime is 11204161. The reversal of 11204160 is 6140211.

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

It is not an unprimeable number, because it can be changed into a prime (11204161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10030 + ... + 11090.

Almost surely, 211204160 is an apocalyptic number.

11204160 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 11204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19421856).

11204160 is an abundant number, since it is smaller than the sum of its proper divisors (27639552).

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

11204160 is a wasteful number, since it uses less digits than its factorization.

11204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11204160 is about 3347.2615673114. The cubic root of 11204160 is about 223.7654858564.

Adding to 11204160 its reverse (6140211), we get a palindrome (17344371).

It can be divided in two parts, 112041 and 60, that added together give a triangular number (112101 = T473).

The spelling of 11204160 in words is "eleven million, two hundred four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1061 1320 1760 2112 2122 2640 3183 3520 4244 5280 5305 6366 8488 10560 10610 11671 12732 15915 16976 21220 23342 25464 31830 33952 35013 42440 46684 50928 58355 63660 67904 70026 84880 93368 101856 116710 127320 140052 169760 175065 186736 203712 233420 254640 280104 339520 350130 373472 466840 509280 560208 700260 746944 933680 1018560 1120416 1400520 1867360 2240832 2801040 3734720 5602080 11204160