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11042304 = 29371379
BaseRepresentation
bin101010000111…
…111000000000
3202210000012020
4222013320000
510311323204
61032401440
7162600210
oct52077000
922700166
1011042304
116262279
123846280
132398110
141676240
15e81bd9
hexa87e00

11042304 has 160 divisors (see below), whose sum is σ = 36664320. Its totient is φ = 2875392.

The previous prime is 11042303. The next prime is 11042309. The reversal of 11042304 is 40324011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11042303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139737 + ... + 139815.

It is an arithmetic number, because the mean of its divisors is an integer number (229152).

Almost surely, 211042304 is an apocalyptic number.

11042304 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 11042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332160).

11042304 is an abundant number, since it is smaller than the sum of its proper divisors (25622016).

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

11042304 is an equidigital number, since it uses as much as digits as its factorization.

11042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

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

The square root of 11042304 is about 3322.9962383367. The cubic root of 11042304 is about 222.6827451228.

Adding to 11042304 its reverse (40324011), we get a palindrome (51366315).

The spelling of 11042304 in words is "eleven million, forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 79 84 91 96 104 112 128 156 158 168 182 192 208 224 237 256 273 312 316 336 364 384 416 448 474 512 546 553 624 632 672 728 768 832 896 948 1027 1092 1106 1248 1264 1344 1456 1536 1659 1664 1792 1896 2054 2184 2212 2496 2528 2688 2912 3081 3318 3328 3584 3792 4108 4368 4424 4992 5056 5376 5824 6162 6636 6656 7189 7584 8216 8736 8848 9984 10112 10752 11648 12324 13272 14378 15168 16432 17472 17696 19968 20224 21567 23296 24648 26544 28756 30336 32864 34944 35392 40448 43134 46592 49296 53088 57512 60672 65728 69888 70784 86268 98592 106176 115024 121344 131456 139776 141568 172536 197184 212352 230048 262912 283136 345072 394368 424704 460096 525824 690144 788736 849408 920192 1380288 1577472 1840384 2760576 3680768 5521152 11042304