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11290104 = 2334719131
BaseRepresentation
bin101011000100…
…010111111000
3210020121010000
4223010113320
510342240404
61041553000
7164651520
oct53042770
923217100
1011290104
116411471
123945760
132453b47
1416dc680
15ed0339
hexac45f8

11290104 has 160 divisors (see below), whose sum is σ = 38332800. Its totient is φ = 3032640.

The previous prime is 11290093. The next prime is 11290117. The reversal of 11290104 is 40109211.

11290104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86119 + ... + 86249.

It is an arithmetic number, because the mean of its divisors is an integer number (239580).

Almost surely, 211290104 is an apocalyptic number.

11290104 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 11290104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19166400).

11290104 is an abundant number, since it is smaller than the sum of its proper divisors (27042696).

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

11290104 is a wasteful number, since it uses less digits than its factorization.

11290104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11290104 is about 3360.0749991630. The cubic root of 11290104 is about 224.3361767648.

Adding to 11290104 its reverse (40109211), we get a palindrome (51399315).

The spelling of 11290104 in words is "eleven million, two hundred ninety thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 131 133 152 162 168 171 189 216 228 252 262 266 324 342 378 393 399 456 504 513 524 532 567 648 684 756 786 798 917 1026 1048 1064 1134 1179 1197 1368 1512 1539 1572 1596 1834 2052 2268 2358 2394 2489 2751 3078 3144 3192 3537 3591 3668 4104 4536 4716 4788 4978 5502 6156 7074 7182 7336 7467 8253 9432 9576 9956 10611 10773 11004 12312 14148 14364 14934 16506 17423 19912 21222 21546 22008 22401 24759 28296 28728 29868 33012 34846 42444 43092 44802 49518 52269 59736 66024 67203 69692 74277 84888 86184 89604 99036 104538 134406 139384 148554 156807 179208 198072 201609 209076 268812 297108 313614 403218 418152 470421 537624 594216 627228 806436 940842 1254456 1411263 1612872 1881684 2822526 3763368 5645052 11290104