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11428368 = 2437243113
BaseRepresentation
bin101011100110…
…001000010000
3210111121202220
4223212020100
510411201433
61044541040
7166065600
oct53461020
923447686
1011428368
1164a6336
1239b1780
1324a1a63
141736c00
15100b2b3
hexae6210

11428368 has 120 divisors (see below), whose sum is σ = 35453088. Its totient is φ = 3161088.

The previous prime is 11428363. The next prime is 11428409. The reversal of 11428368 is 86382411.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11428363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101080 + ... + 101192.

Almost surely, 211428368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11428368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17726544).

11428368 is an abundant number, since it is smaller than the sum of its proper divisors (24024720).

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

11428368 is a wasteful number, since it uses less digits than its factorization.

11428368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 11428368 is about 3380.5869312887. The cubic root of 11428368 is about 225.2482396000.

It can be divided in two parts, 114 and 28368, that added together give a palindrome (28482).

The spelling of 11428368 in words is "eleven million, four hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 49 56 84 86 98 112 113 129 147 168 172 196 226 258 294 301 336 339 344 392 452 516 588 602 678 688 784 791 903 904 1032 1176 1204 1356 1582 1806 1808 2064 2107 2352 2373 2408 2712 3164 3612 4214 4746 4816 4859 5424 5537 6321 6328 7224 8428 9492 9718 11074 12642 12656 14448 14577 16611 16856 18984 19436 22148 25284 29154 33222 33712 34013 37968 38872 44296 50568 58308 66444 68026 77744 88592 101136 102039 116616 132888 136052 204078 233232 238091 265776 272104 408156 476182 544208 714273 816312 952364 1428546 1632624 1904728 2857092 3809456 5714184 11428368